Articles in Refereed Journals

  1. Curvature effects in pattern formation: well-posedness and optimal control of a sixth-order Cahn-Hilliard equation.
    to appear in: SIAM J. Math. Anal. (SIMA)
    (with P. Colli, G. Gilardi, A. Signori)
  2. Second-order sufficient conditions in the sparse optimal control of a phase field tumor growth model with logarithmic potential.
    ESAIM Control Optim. Calc. Var. 30, 13/1 - 13/25 (2024), https://doi.org/10.1051/cocv/2023084
    (with F. Tröltzsch)
  3. On a Cahn-Hilliard system with source term and thermal memory.
    Nonlin. Anal. TMA 240, 113461/1 - 113461/16 (2024), https://doi.org/10.1016/j.na.2023.113461
    (with P. Colli, G. Gilardi, A. Signori)
  4. Optimal temperature distribution for a nonisothermal Cahn-Hilliard system in two dimensions with source term and double obstacle potential.
    Ann. Acad. Rom. Sci. Ser. Math. Appl. 15, 175 - 204 (2023)
    (with P. Colli, G. Gilardi, A. Signori)
  5. Second-order sufficient conditions for sparse optimal control of singular Allen-Cahn systems with dynamic boundary conditions.
    Discrete Contin. Dyn. Syst. Ser. S 16, 3784 - 3812 (2023), https://doi.org/10.3934/dcdss.2023163
    (with F. Tröltzsch)
  6. Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model with logistic source describing tumor growth.
    Discrete Contin. Dyn. Syst. Ser. S 16, 3552 - 3572 (2023), https://doi.org/10.3934/dcdss.2023123
    (with G. Gilardi, A. Signori)
  7. Optimal temperature distribution for a nonisothermal Cahn-Hilliard system with source term.
    Appl. Math. Optim. 88, 68/1 - 68/31 (2023), https://doi.org/10.1007/s00245-023-10039-9
    (with P. Colli, G. Gilardi, A. Signori)
  8. Cahn-Hilliard-Brinkman model for tumor growth with possibly singular potentials.
    Nonlinearity 36, 4470 - 4500 (2023), https://doi.org/10.1088/1361-6544/ace2a7
    (with P. Colli, G. Gilardi, A. Signori)
  9. Optimal control of a nonconserved phase field model of Caginalp type with thermal memory and double obstacle potential.
    Discrete Contin. Dyn. Syst. Ser. S 16, 2305 - 2325 (2023), https://doi.org/10.3934/dcdss.2022210
    (with P. Colli, G. Gilardi, A. Signori)
  10. Analysis and optimal control for a phase field model of Caginalp type with thermal memory.
    Commun. Optim. Theory 2022, 4/1 - 4/31 (2022) https://doi.org/10.23952/cot.2022.4
    (with P. Colli, A. Signori)
  11. Optimal control of a phase field system of Caginalp type with fractional operators.
    Pure Appl. Funct. Anal. 7:5, 1597 - 1635 (2022)
    (with P. Colli, G. Gilardi)
  12. Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities.
    Atti Accad. Naz. Rend. Lincei Mat. Appl. 33:1, 193 - 228 (2022) https://doi.org/10.4171/rlm/969
    (with P. Colli, G. Gilardi)
  13. Analysis of a tumor model as a multicomponent deformable porous medium.
    Interfaces Free Bound. 24:2, 235 - 262 (2022), https://doi.org/10.4171/IFB/472
    (with P. Krejcí, E. Rocca)
  14. Well-posedness and optimal control for a Cahn-Hilliard-Oono system with control in the mass term.
    Discrete Contin. Dyn. Syst. Ser. S 15, 2135 - 2172 (2022), https://doi.org/10.3934/dcdss.2022001
    (with P. Colli, G. Gilardi, E. Rocca)
  15. An asymptotic analysis for a generalized Cahn-Hilliard system with fractional operators.
    J. Evol. Equ. 21, 2749 - 2778 (2021), https://doi.org/10.1007/s00028-021-00706-1
    (with P. Colli, G. Gilardi)
  16. Optimal control problems with sparsity for tumor growth models involving variational inequalities.
    J. Optim. Theory Appl. (JOTA) 194, 25 - 58 (2022), https://doi.org/10.1007/s10957-022-02000-7
    (with P. Colli, A. Signori)
  17. Second-order analysis of an optimal control problem in a phase field tumor growth model with chemotaxis and singular potentials.
    ESAIM: Control Optim. Calc. Var. 27, 73/1 - 73/46 (2021), Open Access: https://doi.org/10.1051/cocv/2021072
    (with P. Colli, A. Signori)
  18. Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials.
    Appl. Math. Optim. 83, 2017 - 2049 (2021), https://link.springer.com/content/pdf/10.1007/s00245-019-09618-6.pdf
    and Correction to: Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials, https://doi.org/10.1007/s00245-021-09771-x
    (with P. Colli, A. Signori)
  19. Sparse optimal control of a phase field system with singular potentials arising in the modeling of tumor growth.
    ESAIM: COCV 27, S26/1 - S26/27 (2021), https://www.esaim-cocv.org/articles/cocv/pdf/2021/01/cocv200107.pdf
    (with F. Tröltzsch)
  20. Optimal distributed control of a Cahn-Hilliard-Darcy system with mass sources.
    Appl. Math. Optim. 83, 489 - 530 (2021) https://doi.org/10.1007/s00245-019-09555-4
    (with H. Wu)
  21. Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials.
    Discrete Contin. Dyn. Syst. Ser. S 14, 243 - 271 (2021), https://doi.org/10.3934/dcdss.2020213
    (with P. Colli, G. Gilardi)
  22. Longtime behavior for a generalized Cahn-Hilliard system with fractional operators.
    Atti Acad. Pelorit. Pericol. Cl. Sci. Fis. Mat. Nat. 98, A4/1 - A4/18 (2020) https://doi.org/10.1478/AAPP.98S2A4
    (with P. Colli, G. Gilardi)
  23. Asymptotic analysis of a tumor growth model with fractional operators.
    Asymptotic Analysis 120, 41 - 72 (2020)
    (with P. Colli, G. Gilardi)
  24. Optimal distributed control of a generalized fractional Cahn-Hilliard system.
    Appl. Math. Optim. 82, 551 - 589 (2020)
    (with P. Colli, G. Gilardi)
  25. Optimal distributed control of two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems with degenerate mobility and singular potential.
    Appl. Math. Optim. 81, 889 - 931 (2020)
    (with S. Frigeri, M. Grasselli)
  26. Recent results on well-posedness and optimal control for a class of generalized fractional Cahn-Hilliard systems.
    Control and Cybernetics 48, 153 - 197 (2019)
    (with P. Colli, G. Gilardi)
  27. Optimal control of semiconductor melts by traveling magnetic fields.
    Vietnam J. Math. 47, 793 - 812 (2019), https://doi.org/10.1007/s10013-019-00355-5
    (with P. Nestler, N. Schlömer, O. Klein, F. Tröltzsch)
  28. A distributed control problem for a fractional tumor growth model.
    Mathematics 7, 792 (2019), https://doi.org/10.3390/math7090792
    (with P. Colli, G. Gilardi)
  29. Well-posedness and regularity for a fractional tumor growth model.
    Adv. Math. Sci. Appl. 28, 343 - 375 (2019)
    (with P. Colli, G. Gilardi)
  30. Well-posedness and regularity for a generalized fractional Cahn-Hilliard system.
    Rend. Lincei Mat. Appl. 30, 437 - 478 (2019)
    (with P. Colli, G. Gilardi)
  31. Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: A `deep quench' approach.
    J. Convex Anal. 26, 485 - 514 (2019)
    (with P. Colli, G. Gilardi)
  32. Strong solutions to nonlocal 2D Cahn-Hilliard-Navier-Stokes systems with nonconstant viscosity, degenerate mobility and singular potential.
    Nonlinearity, 678 - 727 (2019), http://iopscience.iop.org/article/10.1088/1361-6544/aaedd0/meta.
    (with S.P. Frigeri, C.G. Gal, M. Grasselli)
  33. Asymptotic limits and optimal control for the Cahn-Hilliard system with convection and dynamic boundary conditions.
    Nonlin. Anal. 178, 1 - 21 (2019)
    (with G. Gilardi)
  34. On the longtime behavior of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions.
    J. Elliptic Parabol. Equ. 4, 327 - 347 (2018).
    (with P. Colli, G. Gilardi)
  35. On a Cahn-Hilliard system with convection and dynamic boundary conditions.
    Annali di Matematica Pura ed Applicata (1923 -) 197, 1445 - 1475 (2018), https://doi.org/10.1007/s10231-018-0732-1.
    (with P. Colli, G. Gilardi)
  36. Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions.
    SIAM J. Control Optim. 56, 1665 - 1691 (2018), https://doi.org/10.1137/17M1146786.
    (with P. Colli, G. Gilardi)
  37. Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition.
    Nonlin. Anal. 170, 171 - 196 (2018), https://doi.org/10.1016/na.2018.01.003.
    (with P. Colli, G. Gilardi)
  38. Unsaturated deformable porous media flow with thermal phase transition.
    Math. Models Methods Appl. Sci. 27, 2675 - 2710 (2017), https://doi.org/10.1142/S0218202517500555.
    (with P. Krejcí, E. Rocca)
  39. Optimal distributed control of a diffuse interface model of tumor growth.
    Nonlinearity 30, 2518 - 2546 (2017)
    (with P. Colli, G. Gilardi, E. Rocca)
  40. Global existence for a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition.
    SIAM J. Math. Anal. 49, 1732 - 1760 (2017), https://doi.org/10.1137/16M1087539.
    (with P. Colli, G. Gilardi)
  41. Recent results on the Cahn-Hilliard equation with dynamic boundary condition.
    Bull. South Ural State Univ. Ser. Math. Model. Program. Comput. Softw. 10, 5 - 21 (2017)
    (with P. Colli, G. Gilardi)
  42. A new type of identification problems: optimizing the fractional order in a nonlocal evolution equation.
    SIAM J. Control. Optim. 55 70 - 93 (2017)
    (mit E. Valdinoci)
  43. Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth.
    Discrete Contin. Dyn. Syst. Ser. S. 10, 37 - 54 (2017)
    (with P. Colli, G. Gilardi, E. Rocca)
  44. Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential.
    Evol. Equ. Control Theory 6, 35 - 58 (2017)
    (with P. Colli, G. Gilardi)
  45. Distributed optimal control of a nonstandard nonlocal phase field system.
    AIMS Math. 1, 246 - 281 (2016)
    (with P. Colli, G. Gilardi)
  46. Constraint evolution for a quasilinear parabolic equation.
    J. Optim. Theory Appl. 170, 713 - 734 (2016)
    (with P. Colli, G. Gilardi)
  47. On an application of Tikhonov's fixed point theorem to a nonlocal Cahn-Hilliard type system modeling phase separation.
    J. Differential Equations 260, 7940 - 7964 (2016)
    (with P. Colli, G. Gilardi)
  48. A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions.
    Appl. Math. Optim. 72, 195 - 225 (2016)
    (with P. Colli, G. Gilardi)
  49. Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system in two dimensions.
    SIAM J. Control. Optim. 54, 221 - 250 (2016)
    (with S. Frigeri, E. Rocca)
  50. A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions.
    Adv. Nonlinear Anal. 4, 311 - 325 (2015).
    (with P. Colli, G. Gilardi)
  51. Optimal boundary control of a viscous Cahn-Hilliard system with dynamic boundary condition and double obstacle potentials.
    SIAM J. Control Optim. 53, 2696 - 2721 (2015)
    (with P. Colli, G. Gilardi, M. H. Farshbaf-Shaker)
  52. Second-order analysis of a boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions.
    Ann. Acad. Rom. Sci. Math. Appl. 7, 41 - 66 (2015)
    (with P. Colli, M.H. Farshbaf-Shaker, G. Gilardi)
  53. Optimal distributed control of a nonlocal convective Cahn-Hilliard equation by the velocity in three dimensions.
    SIAM J. Control Optim. 53, 1654 - 1680 (2015)
    (with E. Rocca)
  54. Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth.
    Nonlinear Anal. Real World Appl. 26, 93 - 108 (2015)
    (with P. Colli, G. Gilardi, E. Rocca)
  55. A deep quench approach to the optimal control of an Allen-Cahn equation with dynamic boundary conditions and double obstacles.
    Appl. Math. Optim. 71, 1 - 24 (2015)
    (with P. Colli, M.H. Farshbaf Shaker)
  56. Optimal control of an Allen-Cahn equation with singular potentials and dynamic boundary condition.
    SIAM J. Control Optim. 53, 213 - 234 (2015)
    (with P. Colli)
  57. Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system.
    ESAIM Math. Model. Numer. Anal. 48, 1061 - 1087 (2014)
    (with P. Colli, G. Gilardi, P. Krejcí, P. Podio-Guidugli)
  58. On the Cahn-Hilliard equation with dynamic boundary conditions and a dominating boundary potential.
    J. Math. Anal. Appl. 419, 972 - 994 (2014)
    (with P. Colli, G. Gilardi)
  59. A vanishing diffusion limit in a nonstandard system of phase field equations.
    Evol. Equ. Control Theory 3, 257 - 275 (2014)
    (with P. Colli, G. Gilardi, P. Krejcí)
  60. A continuous dependence result for a nonstandard system of phase field equations.
    Math. Methods Appl. Sci. 37, 1318 - 1324 (2014)
    (with P. Colli, G. Gilardi, P. Krejcí)
  61. Regularity of the solution to a nonstandard system of phase field equations.
    Istituto Lombardo (Rend. Cl. Sci. Mat. Nat.) 147, 3 - 19 (2013)
    (with P. Colli, G. Gilardi)
  62. Global existence and uniqueness for a singular/degenerate Cahn-Hilliard system with viscosity.
    J. Differential Equations 254, 4217 - 4244 (2013)
    (with P. Colli, G. Gilardi, P. Podio-Guidugli)
  63. Crystallization of 640 kg mc-silicon ingots under traveling magnetic field by using a heater-magnet module.
    J. Crystal Growth 365, 54 - 58 (2013)
    (with C. Kudla, A. T. Blumenau, F. Büllesfeld, N. Dropka, C. Frank-Rotsch, F. Kiessling, O. Klein, P. Lange,
    W. Miller, U. Rehse, U. Sahr, M. Schellhorn, G. Weidemann, M. Ziem, G. Bethin, R. Fornari,
    M. Müller, V. Trautmann, P. Rudolph)
  64. An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity.
    Discrete Contin. Dyn. Syst. Ser. S 6, 353 - 368 (2013)
    (with P. Colli, G. Gilardi, P. Podio-Guidugli)
  65. Continuous dependence for a nonstandard Cahn-Hilliard system with nonlinear atom mobility.
    Rend. Sem. Mat. Univ. Politec. Torino 70, 27 - 52 (2012)
    (with P. Colli, G. Gilardi, P. Podio-Guidugli)
  66. Mathematical modeling of Czochralski type growth processes for semiconductor bulk single crystals.
    Milan J. Math. 80, 311 - 332 (2012)
    (with D. Dreyer, P.-É. Druet, O. Klein)
  67. Global existence for a strongly coupled Cahn-Hilliard system with viscosity.
    Boll. Unione Mat. Ital. (9) 5, 495 - 513 (2012)
    (with P. Colli, G. Gilardi, P. Podio-Guidugli)
  68. Distributed optimal control of a nonstandard system of phase field equations.
    Contin. Mech. Thermodyn. 24, 437 - 459 (2012)
    (with P. Colli, G. Gilardi, P. Podio-Guidugli)
  69. Analysis and optimal boundary control of a nonstandard system of phase field equations.
    Milan J. Math. 80, 119 - 149 (2012)
    (with P. Colli, G. Gilardi)
  70. Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system.
    SIAM J. Appl. Math. 71, 1849 - 1870 (2011)
    (with P. Colli, G. Gilardi, P. Podio-Guidugli)
  71. Extensions of the control variational method.
    Control Cybernet. 40, 1099 - 1108 (2011)
    (with D. Tiba)
  72. Optimal control of three-dimensional state-constrained induction heating problems with nonlocal radiation effects.
    SIAM J. Control Optim. 49, 1707 - 1736 (2011)
    (with P.-É. Druet, O. Klein, F. Tröltzsch, I. Yousept)
  73. A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity.
    J. Differential Equations 251, 1354 - 1387 (2011)
    (with P. Colli, P. Krejcí, E. Rocca)
  74. Phase separation in a gravity field.
    Discrete Contin. Dyn. Syst. Ser. S 4, 391 - 407 (2011)
    (with P. Krejcí and E. Rocca)
  75. A temperature-dependent phase segregation problem of the Allen-Cahn type.
    Adv. Math. Sci. Appl. 20, 219 - 234 (2010)
    (with P. Colli, G. Gilardi, P. Podio Guidugli)
  76. Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type.
    Math. Models Methods Appl. Sci. 20, 519 - 541 (2010)
    (with P. Colli, G. Gilardi, P. Podio Guidugli)
  77. A note on parabolic equation with nonlinear dynamical boundary condition.
    Nonlinear Anal. 72, 3028 - 3048 (2010)
    (with H. Wu)
  78. A bottle in a freezer.
    SIAM J. Math. Anal. 41, 1851 - 1873 (2009)
    (with P. Krejcí and E. Rocca)
  79. Numerical simulations of the influence of a traveling magnetic field, generated by an internal heater-magnet module, on liquid encapsulated Czochralski crystal growth.
    Magnetohydrodynamics 45, 557 - 567 (2009)
    (with O. Klein, Ch. Lechner, P.-É. Druet, P. Philip, Ch. Frank-Rotsch, F. M. Kießling, W. Miller, U. Rehse, P. Rudolph)
  80. The control variational approach for differential systems.
    SIAM J. Control Optim. 47, 3220 - 3236 (2009)
    (with D. Tiba)
  81. Numerical simulation of Czochralski crystal growth under the influence of a traveling magnetic field generated by an internal heater-magnet module (HMM).
    J. Crystal Growth 310, 1523 - 1532 (2008)
    (with O. Klein, C. Lechner, P.-E. Druet, P. Philip, C. Frank-Rotsch, F. M. Kiessling, W. Miller, U. Rehse, P. Rudolph)
  82. Clamped elastic-ideally plastic beams and Prandtl-Ishlinskii hysteresis operators.
    Discrete Contin. Dyn. Syst. Ser. S 1, 283 - 292 (2008)
    (with P. Krejcí)
  83. Small strain oscillations of an elastoplastic Kirchhoff plate.
    ZAMM Z. Angew. Math. Mech. 88, 199 - 217 (2008)
    (with R. B. Guenther and P. Krejcí)
  84. Nonlocal temperature-dependent phase-field models for non-isothermal phase transitions.
    J. London Math. Soc. (2) 76, 197 - 210 (2007)
    (with P. Krejcí and E. Rocca)
  85. Nonlinear evolution inclusions arising from phase change models.
    Czechoslovak Math. J. 57, 1067 - 1098 (2007)
    (with P. Colli, P. Krejcí and E. Rocca)
  86. Elastic-ideally plastic beams and Prandtl-Ishlinskii hysteresis operators.
    Math. Methods Appl. Sci. 30, 2371 - 2393 (2007)
    (with P. Krejcí)
  87. Optimal boundary control of a phase field system modeling nonisothermal phase transitions.
    Adv. Math. Sci. Appl. 17, 181 - 194 (2007)
    (with C. Lefter)
  88. A nonlocal phase-field model with nonconstant specific heat.
    Interfaces Free Bound. 9, 285 - 306 (2007)
    (with P. Krejcí and E. Rocca)
  89. Long-time behaviour of a singular phase transition model.
    Discrete Contin. Dyn. Syst. 15, 1119 - 1135 (2006)
    (with P. Krejcí)
  90. Optimization problems for curved mechanical structures.
    SIAM J. Control Optimiz. 44, 743 - 775 (2005)
    (with V. Arnautu and D. Tiba)
  91. A reduction approximation method for curved rods.
    Numer. Funct. Anal. Optimiz. 26, 139 - 155 (2005)
    (with V. Arnautu and D. Tiba)
  92. Nonlocal phase-field models for non-isothermal phase transitions and hysteresis.
    Adv. Math. Sci. Appl. 14, 593 - 612 (2004)
    (with P. Krejcí)
  93. Modeling and simulation of sublimation growth of SiC bulk single crystals.
    Interfaces Free Bound. 6, 295 - 314 (2004)
    (with O. Klein and P. Philip)
  94. One-dimensional thermo-visco-plastic processes with hysteresis and phase transitions.
    Adv. Math. Sci. Appl. 13, 695 - 712 (2004)
    (with P. Krejcí and U. Stefanelli)
  95. Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions.
    J. Math. Anal. Appl. 279, 97 - 110 (2003)
    (with S. Zheng)
  96. Optimization of clamped plates with discontinuous thickness.
    Systems & Control Letters 48, 289 - 295 (2003)
    (with D. Tiba)
  97. Phase-field models with hysteresis in one-dimensional thermoviscoplasticity.
    SIAM J. Math. Anal. 34, 409 - 434 (2002)
    (with P. Krejcí and U. Stefanelli)
  98. Phase-field systems with vectorial order parameters including hysteresis and diffusion effects.
    Comm. Pure Appl. Anal. 1, 495 - 511 (2002)
    (with N. Kenmochi)
  99. Parabolic regularization of differential inclusions and the stop operator.
    Interfaces and Free Boundaries 4, 423 - 435 (2002)
    (with P. Krejcí)
  100. A model of a general elastic curved rod.
    Math. Meth. Appl. Sci. 25, 835 - 854 (2002)
    (with A. Ignat and D. Tiba)
  101. On a model for phase separation in binary alloys driven by mechanical effects.
    Physica D 165, 48 - 65 (2002)
    (with E. Bonetti, P. Colli, W. Dreyer, G. Gilardi and G. Schimperna)
  102. An analytic approach to a generalized Naghdi shell model.
    Adv. Math. Sci. Appl. 12, 175 - 190 (2002)
    (with D. Tiba)
  103. Phase-field systems for multidimensional Prandtl-Ishlinskii operators with non-polyhedral characteristics.
    Math. Meth. Appl. Sci. 25, 309 - 325 (2002)
    (with P. Krejcí)
  104. On a class of multi-dimensional Prandtl-Ishlinskii operators.
    Physica B 306, 185 - 190 (2001)
    (with P. Krejcí)
  105. Analysis and optimization of nonsmooth arches.
    SIAM J. Control Optimiz. 40, 1107 - 1135 (2001)
    (with A. Ignat and D. Tiba)
  106. Asymptotic behaviour for a phase-field system with hysteresis.
    J. Differ. Equations 175, 88 - 107 (2001)
    (with P. Krejcí and S. Zheng)
  107. Radiation and convection driven transient heat transfer during sublimation growth of silicon carbide single crystals.
    J. Crystal Growth 222, 832 - 851 (2001)
    (with O. Klein, P. Philip and K. Wilmanski)
  108. Phase field models with hysteresis.
    J. Math. Anal. Appl. 252, 198 - 219 (2000)
    (with P. Krejcí)
  109. On the approximation and the optimization of plates.
    Numer. Funct. Anal. and Optimiz. 21, 337 - 354 (2000)
    (with V. Arnautu, H. Langmach and D. Tiba)
  110. Hysteresis in phase field models with thermal memory.
    Math. Meth. Appl. Sci. 23, 909 - 922 (2000)
    (with G. Gilardi and P. Krejcí)
  111. Sur les arches lipschitziennes.
    C. R. Acad. Sci. Paris, t. 331, Série I, 179 - 184 (2000)
    (with D. Tiba)
  112. A hysteresis approach to phase-field models.
    Nonlinear Analysis TMA 39, 569 - 586 (2000)
    (with P. Krejcí)
  113. A transient model for the sublimation growth of silicon carbide single crystals.
    J. Crystal Growth 205, 294 - 304 (1999)
    (with N. Bubner, O. Klein, P. Philip and K. Wilmanski)
  114. Nonlinear equations in non-reflexive Banach spaces and strongly nonlinear differential equations.
    Adv. Math. Sci. Appl. 9, 939 - 972 (1999)
    (with K. Soltanov)
  115. Global solution to the Penrose-Fife phase-field model with zero interfacial energy and Fourier law.
    Adv. Math. Sci. Appl. 9, 383 - 391 (1999)
    (with P. Colli)
  116. Automatic control via thermostats of a hyperbolic Stefan problem with memory.
    Appl. Math. Optimiz. 39, 229 - 255 (1999)
    (with P. Colli and M. Grasselli)
  117. A duality-type method for the design of beams.
    Adv. Math. Sci. Appl. 9, 89 - 102 (1999)
    (with D. Tiba)
  118. A duality approach in the optimization of beams and plates.
    SIAM J. Control Optimiz. 37, 486 - 501 (1998/99)
    (with D. Tiba)
  119. Optimal boundary control problems for shape memory alloys under state constraints for stress and temperature.
    Numer. Funct. Anal. Optimiz. 19, 489 - 498 (1998)
    (with N. Bubner and J. Soko\lowski)
  120. Propriétés de bang-bang généralisées dans l'optimisation des plaques.
    C. R. Acad. Sci. Paris, t. 327, Série I, 705 - 710 (1998)
    (with D. Tiba)
  121. Maximal attractor for the system of a Landau-Ginzburg theory for structural phase transitions in shape memory alloys.
    Physica D 121, 252 - 262 (1998)
    (with S. Zheng)
  122. Hysteresis operators in phase-field models of Penrose-Fife type.
    Appl. Math. 43, 207 - 222 (1998)
    (with P. Krejcí)
  123. Temperature-dependent hysteresis in one-dimensional thermovisco-elastoplasticity.
    Appl. Math. 43, 173 - 206 (1998)
    (with P. Krejcí)
  124. Global solutions to a coupled parabolic-hyperbolic system with hysteresis in 1D-magnetoelasticity.
    Nonlinear Analysis TMA 33, 341 - 358 (1998)
    (with P. Krejcí)
  125. Asymptotic behavior of the solutions to a Landau-Ginzburg system with viscosity for martensitic phase transitions in shape memory alloys.
    SIAM J. Math. Anal. 29, 69 - 84 (1998)
    (with S. Zheng and P. Zhu)
  126. Optimal control of martensitic phase transitions in a deformation-driven experiment on shape memory alloys.
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  127. Weak solution to some Penrose-Fife phase-field systems with temperature-dependent memory.
    J. Differ. Equations 142, 54 - 77 (1998)
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  128. Stefan problems and the Penrose-Fife phase field model.
    Adv. Math. Sci. Appl. 7, 911 - 934 (1997)
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  129. On a system of nonlinear PDEs with temperature-dependent hysteresis in one-dimensional thermoplasticity.
    J. Math. Anal. Appl. 209, 25 - 46 (1997)
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  130. A control problem with state constraints for the Penrose-Fife phase-field model.
    Control & Cybernetics 25, 1137 - 1153 (1996)
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  131. Remarks on the existence for the one-dimensional Frémond model of shape memory alloys.
    Z. Angew. Math. Mech. 76, Suppl. 2, 413 - 416 (1996)
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  132. Global solutions to a Penrose-Fife phase-field model under flux boundary conditions for the inverse temperature.
    Math. Meth. Appl. Sci. 19, 1053 - 1072 (1996)
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  133. Global existence of smooth solutions to the Penrose-Fife model for Ising ferromagnets.
    Adv. Math. Sci. Appl. 6, 227 - 241 (1996)
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  134. On a Penrose-Fife model with zero interfacial energy leading to a phase-field system of relaxed Stefan type.
    Ann. Mat. Pura Appl. 169, 269 - 285 (1995)
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  135. Global solution to the full one-dimensional Frémond model for shape memory alloys.
    Math. Meth. Appl. Sci. 18, 371 - 385 (1995)
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  136. Control problems with state constraints for shape memory alloys.
    Math. Meth. Appl. Sci. 17, 943 - 952 (1994)
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  137. Positivity of temperature in the general Frémond model for shape memory alloys.
    Cont. Mech. Thermodyn. 5, 255 - 264 (1993)
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  138. Global smooth solutions for a thermodynamically consistent model of phase-field type in higher space dimensions.
    J. Math. Anal. Appl. 176, 200 - 223 (1993)
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  139. Optimal control problems for a thermodynamically consistent model of phase-field type for phase transitions.
    Adv. Math. Sci. Appl. 1, 113 - 125 (1992)
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  140. Global existence for a three-dimensional model of the thermo-mechanical evolution of shape memory alloys.
    Nonlinear Analysis TMA 18, 873 - 888 (1992)
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  141. Global existence of thermomechanical processes in nonlinear thin rods under velocity feedbacks.
    Math. Meth. Appl. Sci. 15, 265 - 274 (1992)
  142. Optimal control of thermomechanical phase transitions in shape memory alloys: necessary conditions of optimality.
    Math. Meth. Appl. Sci. 14, 265 - 280 (1991)
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  143. Convergent numerical approximations of the thermomechanical phase transitions in shape memory alloys.
    Numer. Math. 58, 759 - 778 (1991)
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  144. Global solutions in one-dimensional magneto-thermoviscoelasticity.
    European J. Appl. Math. 2, 83 - 96 (1991)
  145. Dynamical shape control and the stabilization of non-linear thin rods.
    Math. Meth. Appl. Sci. 14, 63 - 78 (1991)
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  146. Shape memory alloys: mathematical models for a class of first order solid-solid phase transitions in metals.
    Control & Cybernetics 19, 287 - 308 (1990)
  147. Krasnoselskii's theorem on operators compressing a cone: application to some singular boundary value problems.
    J. Math. Anal. Appl. 153, 443 - 459 (1990)
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  148. Steady states of austenitic-martensitic domains in the Ginzburg-Landau theory of shape memory alloys.
    Cont. Mech. Thermodyn. 2, 199 - 213 (1990)
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  149. Feedback control via thermostats of multidimensional two-phase Stefan problems.
    Nonlinear Analysis TMA 15, 955 - 976 (1990)
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  150. Global solutions to the equations of a Ginzburg-Landau theory for structural phase transitions in shape memory alloys.
    Physica D 39, 59 - 76 (1989)
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  151. Stability and optimal control of thermomechanical processes with non-convex free energies of Ginzburg-Landau type.
    Math. Meth. Appl. Sci. 11, 687 - 696 (1989)
  152. Existence and optimal control of mechanical processes with hysteresis in viscous solids.
    IMA J. Appl. Math. 43, 219 - 229 (1989)
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    J. Math. Anal. Appl. 141, 333 - 348 (1989)
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    Math. Meth. Appl. Sci. 10, 447 - 456 (1988)
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    J. Comp. Physics 78, 215 - 230 (1988)
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  157. Global solutions to a model of structural phase transitions in shape memory alloys.
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    SIAM J. Math. Anal. 17, 1198 - 1217 (1986)
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  160. On the identification of heat conductivity and latent heat in a one-phase Stefan problem.
    Control & Cybernetics 14, 37 - 51 (1985)
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  161. Automatische Steuerung freier Ränder bei Stefan Problemen durch Thermostatkontrollen am festen Rand.
    Zeitschrift für Analysis und ihre Anwendungen 4, 225 - 233 (1985)
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  162. On the identification of coefficients of elliptic problems by asymptotic regularization.
    Numer. Funct. Anal. and Optimiz. 7, 157 - 177 (1984/85)
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  163. A note on the thermostat control of heating processes in materials with thermal memory.
    Matemática Aplicada e Computational 3, 257 - 264 (1984)
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  164. Exact bounds for the radially symmetric shape of a confined plasma in the unit circle.
    Math. Meth. Appl. Sci. 6, 496 - 511 (1984)
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  165. Real-time control of the free boundary in a two-phase Stefan problem.
    Numer. Funct. Anal. and Optimiz. 5, 47 - 76 (1982)
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  166. The regulation of temperature by thermostats and set-valued integral equations.
    J. Integral Equations 4, 95 - 112 (1982)
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  167. An application of Glicksberg's theorem to set-valued integral equations arising in the theory of thermostats.
    SIAM J. Math. Anal. 12, 477 - 486 (1981)
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  168. On the uniqueness of conduction in relaxation-case semiconductors.
    J. Appl. Math. Phys. (ZAMP) 32, 344 - 346 (1981)
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  169. The index-k-stabilising differential equation.
    Operations Research Spectrum 2, 223 - 225 (1981)
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  170. Exact bounds for the solution branches of nonlinear eigenvalue problems.
    Numer. Math. 34, 29 - 40 (1980)
  171. Bounds and domains of existence for hyperbolic initial value problems.
    Computing 23, 73 - 83 (1979)
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  172. Pointwise inclusions of fixed points by finite dimensional iteration schemes.
    Numer. Math. 32, 381 - 392 (1979)
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  173. Finite dimensional cone iteration techniques for superlinear Hammerstein equations.
    Numer. Funct. Anal. and Optimiz. 1, 289 - 314 (1979)
  174. Ein Verfahren zur iterativen Einschließung des positiven Eigenvektors einer irreduziblen, nichtnegativen Matrix.
    Computing 20, 27 - 34 (1978)
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  175. Einige Existenz- und Einschließungssätze für Fixpunkte expandierender Integraloperatoren.
    Aequ. Math. 16, 283 - 295 (1977)
  176. Existenz und erste Einschließung positiver Lösungen bei superlinearen Randwertaufgaben zweiter Ordnung.
    Numer. Math. 26, 421 - 428 (1976)
  177. Vergleich von Diskretisierungsverfahren und parametrischen Methoden an einfachen Testbeispielen.
    Z. Ang. Math. Mech. 56, 1 - 11 (1976)
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