Articles in Collected Editions

  1. Nonlocal phase field models of viscous Cahn-Hilliard type.
    In: “Topics in Applied Analysis and Optimisation - Partial Differential Equations, Stochastic and Numerical Analysis” (M. Hintermüller, J.F. Rodrigues, eds.), vol. 5 of Springer-CIM Series, Springer Nature, Cham, 2019, 71 - 100, https://doi.org/10.1007/978-3-030-33116-0.
    (with P. Colli, G. Gilardi)
  2. Limiting problems for a nonstandard Cahn-Hilliard system with dynamic boundary conditions.
    In: “Trends in Applications of Mathematics to Mechanics” (E. Rocca, U. Stefanelli, L. Truskinovsky, A. Visintin, eds.), vol 27 of Springer INdAM Series, Springer International Publishing, Cham, 2018, 217 - 242, https://doi.org/10.1007/978-3-319-75940-1_11.
    (with P. Colli, G. Gilardi)
  3. Optimal boundary control of a nonstandard Cahn-Hilliard system with dynamic boundary condition and double obstacle inclusions.
    In: “Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs: In Honour of Prof. Gianni Gilardi” (P. Colli, A. Favini, E. Rocca, G. Schimperna, J. Sprekels, eds.), vol. 22 of Springer INdAM Series, Springer International Publishing, 2017, 151 - 182.
    (with P. Colli)
  4. SHOWCASE 13 - Growth of semiconductor bulk single crystals.
    In: “MATHEON - Mathematics for Key Technologies” (P. Deuflhard, M. Grötschel, D. Hömberg, U. Horst, J. Kramer, V. Mehrmann, K. Polthier, F. Schmidt, Ch. Schütte, M. Skutella, J. Sprekels, eds.), vol 1 of EMS Series in Industrial and Applied Mathematics, European Mathematical Society Publishing House, Zurich, 2014, 224 - 225.
    (with O. Klein)
  5. C3 - Phase transformation and separation in solids.
    In: “MATHEON - Mathematics for Key Technologies” (P. Deuflhard, M. Grötschel, D. Hömberg, U. Horst, J. Kramer, V. Mehrmann, K. Polthier, F. Schmidt, Ch. Schütte, M. Skutella, J. Sprekels, eds.), vol 1 of EMS Series in Industrial and Applied Mathematics, European Mathematical Society Publishing House, Zurich, 2014, 189 - 203.
    (with D. Knees, R. Kornhuber, Ch. Kraus, A. Mielke)
  6. C4 - PDE-constrained optimization with industrial applications.
    In: “MATHEON - Mathematics for Key Technologies” (P. Deuflhard, M. Grötschel, D. Hömberg, U. Horst, J. Kramer, V. Mehrmann, K. Polthier, F. Schmidt, Ch. Schütte, M. Skutella, J. Sprekels, eds.), vol 1 of EMS Series in Industrial and Applied Mathematics, European Mathematical Society Publishing House, Zurich, 2014, 207 - 222.
    (with M. Hintermüller, D. Hömberg, O. Klein, F. Tröltzsch)
  7. Liquid-solid phase transitions in a deformable container.
    In: “Continuous Media with Microstructure” (B. Albers, ed.), Springer, Berlin/Heidelberg, 2010, 285 - 300.
    (with P. Krejcí, E. Rocca)
  8. Global solution to a phase transition problem of the Allen-Cahn type.
    In: “Nonlinear Evolution Equations and Mathematical Modeling”, Proceedings of the RIMS Symposium held at the Research Institute for Mathematical Sciences, Kyoto University, October 20-23, 2009 (T. Aiki, ed.), vol. 1693 of Surikaisekikenkyusho Kokyuroku, Kyoto, 2010, 104 - 110.
    (with P. Colli, G. Gilardi, P. Podio-Guidugli)
  9. Optimization problems for thin elastic structures.
    in: “Optimal Control of Coupled Systems of Partial Differential Equations” (K. Kunisch, G. Leugering, J. Sprekels, F. Tröltzsch, eds.), International Conference on Optimal Control of Coupled Systems of Partial Differential Equations, Oberwolfach, March 2-8, 2008, vol. 158 of Internat. Series Numer. Math., Birkhäuser, Basel et al., 2009, 255 - 273.
    (with D. Tiba)
  10. Numerical simulations of the influence of a travelling magnetic field, generated by an internal heater magnetic module, on Czochralski crystal growth.
    (E. Braake, B. Nacke, eds.), Proceedings of the International Scientific Colloquium Modelling for Electromagnetic Processing (MEP2008), Hannover, October 26-29, 2008, Leibniz University of Hannover, 2008, 91 - 96.
    (with O. Klein, P.-E. Druet, Ch. Lechner, P. Philip, Ch. Frank-Rotsch, F.-M. Kiessling, W. Miller, U. Rehse, P. Rudolph)
  11. Crystal growth in heater-magnet modules -- From concept to use.
    (E. Braake, B. Nacke, eds.), Proceedings of the International Scientific Colloquium Modelling for Electromagnetic Processing (MEP2008), Hannover, October 26-29, 2008, Leibniz University of Hannover, 2008, 26 - 29.
    (with P. Rudolph, Ch. Frank-Rotsch, F.-M. Kiessling, W. Miller, U. Rehse, O. Klein, Ch. Lechner, B. Nacke, H. Kasjanov, P. Lange, M. Ziem, B. Lux, M. Czupalla, O. Root, V. Trautmann, G. Bethin)
  12. Asymptotic behavior of the stop hysteresis operator.
    Applications of Asymptotic Analysis. Workshop, June 18 - 24, 2006. Vol. 3 (2) of Oberwolfach Reports, Mathematisches Forschungsinstitut Oberwolfach, 1696 - 1697.
  13. Optimal design of mechanical structures.
    Chapter 18 of “Control Theory of Partial Differential Equations” (O. Imanuvilov, G. Leugering, R. Triggiani, B.-Y. Zhang, eds.), Pure and Applied Mathematics Series Vol. 242, 239 - 271. Chapman & Hall, Boca Raton, 2005.
    (with D. Tiba)
  14. An approximation method for curved rods.
    In: “Nonlinear Partial Differential Equations and their Applications” (N. Kenmochi, M. Otani, S. Zheng, eds.), 305 - 314. Gakuto Intern. Ser. Math. Sci. Appl. Vol. 20, Gakkotosho, Tokyo, 2004.
    (with D. Tiba)
  15. Optimal control of sublimation growth of SiC crystals.
    In: “Mathematics -- Key Technology for the Future” (W. Jäger, H.-J. Krebs, eds.), 343 - 354. Springer-Verlag, Heidelberg/New York, 2003.
    (with O. Klein, P. Philip and K. Wilmanski)
  16. Optimization of differential systems with hysteresis.
    In: “Analysis and Optimization of Differential Systems” (V.Barbu, I.Lasiecka, D.Tiba, C.Varsan, eds.), 387 - 398. Kluwer Academic Publishers, Boston/Dordrecht/London, 2003.
    (with D. Tiba)
  17. Control variational methods for differential equations.
    In: “Optimal Control of Complex Structures” (K.-H. Hoffmann, I. Lasiecka, G. Leugering, J. Sprekels, F. Tröltzsch, eds.), ISNM Vol. 139, 245 - 257. Birkhäuser Verlag, Basel 2001.
    (with D. Tiba)
  18. Real-time optimal control of shape memory alloy actuators in smart structures.
    In: “Online Optimization of Large Scale Systems” (M. Grötschel, S. O. Krumke, J. Rambau, eds.), 93 - 104. Springer-Verlag, Heidelberg 2001.
    (with S. Seelecke, C. Büskens and I. Müller)
  19. Phase-field systems and vector hysteresis operators.
    In: “Free boundary problems: Theory and Applications II” (N. Kenmochi, eds.), 295 - 310. Gakkotosho, Tokyo 2000.
    (with P. Krejcí)
  20. Existence and asymptotic behaviour in phase-field models with hysteresis.
    In: “Lectures on Applied Mathematics” (H.-J. Bungartz, R. H. W. Hoppe, C. Zenger, eds.), 77 - 88. Springer, Heidelberg 2000.
    (with P. Krejcí and S. Zheng)
  21. A thermodynamically consistent hysteresis model of thermovisco-elastoplasticity.
    In: “Contributions to Continuum Theories. Anniversary Volume for Krzysztof Wilmanski” (B. Albers, ed.), 138 - 145. Report No. 18, Weierstraß-Institut für Angewandte Analysis und Stochastik, Berlin 2000.
    (with P. Krejcí)
  22. On the approximation and optimization of fourth order elliptic systems.
    In: International Series of Numerical Mathematics Vol. 133, 277 - 286. Birkhäuser, Basel 1999.
    (with D. Tiba)
  23. On the asymptotic behaviour of a Landau-Ginzburg model for the martensitic phase transitions in shape memory alloys.
    In: “Topics in Nonlinear Analysis. The Herbert Amann Anniversary Volume” (J. Escher, G. Simonett, eds.), 673 - 690. Progress in Nonlinear Partial Differential Equations and Their Applications Vol. 35, Birkhäuser, Basel 1999.
    (with S. Zheng)
  24. Hysteresis operators in phase field models.
    In: “Topics in Nonlinear Analysis. The Herbert Amann Anniversary Volume” (J. Escher, G. Simonett, eds.), 499 - 516. Progress in Nonlinear Differential Equations and Their Applications Vol. 35, Birkhäuser, Basel 1999.
    (with P. Krejcí)
  25. Strong solutions to equations of visco-thermo-plasticity with a temperature-dependent strain-stress law.
    In: “IUTAM Symposium on Variations of Domains and Free-Boundary Problems in Solid Mechanics” (P. Argoul, M. Frémond, Q. S. Nguyen, eds.), 237 - 244. Solid Mechanics and its Applications Vol. 66, Kluwer, Dordrecht 1999.
    (with P. Krejcí)
  26. Global solution to the Penrose-Fife phase field model with special heat flux laws.
    In: “IUTAM Symposium on Variations of Domains and Free-Boundary Problems in Solid Mechanics” (P. Argoul, M. Frémond, Q. S. Nguyen, eds.), 181 - 188. Solid Mechanics and its Applications Vol. 66, Kluwer, Dordrecht 1999.
    (with P. Colli and Ph. Laurençot)
  27. Weak stabilization of solutions to PDEs with hysteresis in thermovisco-elastoplasticity.
    In: “EQUADIFF 9, Proceedings” (R. P. Agarwal, F. Neumann, J. Vosmansky, eds.), 81 - 96. Masaryk University Electronic Publishing House, Stony Brook N. Y. 1998.
    (with P. Krejcí)
  28. A thermodynamic theory of hysteresis operators in one-dimensional thermoplasticity.
    In: "Facetten der Thermodynamik: Festschrift zum 60. Geburtstag von Prof.Dr.I. Müller" (H. Stuchtrup, ed.), 189 - 200. Institut für Verfahrenstechnik der TU Berlin, Berlin 1997.
  29. A Ginzburg-Landau model for shape memory alloys.
    In: "Festschrift zum 60. Geburtstag von Prof.Dr.-Ing.R. de Boer", 379 - 392. Forschungsbericht Nr. 66 aus dem Fachbereich Bauwesen der Universität GH Essen, Essen 1995.
  30. Control problems for shape memory alloys with constraints on the shear strain.
    In: "Control of Partial Differential Equations" (G. DaPrato, L. Tubaro, eds.), 189 - 195. Lecture Notes in Pure and Applied Mathematics Vol. 165, Marcel Dekker, New York 1994.
    (with J. Soko\lowski)
  31. Mathematical models for phase transitions.
    In: "Proceedings of the Seventh European Conference on Mathematics in Industry" (A. Fasano, M. Primicerio, eds.), 71 - 96. ECMI Vol. 9, Teubner, Stuttgart 1994.
  32. On the Penrose-Fife model for diffusive phase transitions.
    In: "Nonlinear Mathematical Problems In Industry I" (H. Kawarada, N. Kenmochi, N. Yanagira, eds.), 159 - 173. Gakuto Intern. Ser., Mathematical Sciences and Applications, Vol. 1, Gakuto, Tokyo 1993.
  33. Optimal control of shape memory alloys with solid-solid phase transitions.
    In: "Emerging Applications In Free Boundary Problems" (J. M. Chadam, H. Rasmussen, eds.), 208 - 214. Pitman Research Notes in Mathematics Series Vol. 280, Longman Scientific & Technical, Harlow 1993.
    (with M. Brokate)
  34. On thermomechanical phase transitions.
    In: "Free Boundary Problems Involving Solids" (J. M. Chadam, H. Rasmussen, eds.), 237 - 243. Pitman Research Notes in Mathematics Series Vol. 281, Longman Scientific & Technical, Harlow 1993.
  35. On the identification of distributed parameters in hyperbolic equations.
    In: "Partial Differential Equations with Real Analysis" (H. Begehr et al., eds.), 102 - 121. Pitman Research Notes in Mathematics Series Vol. 263, Longman Scientific & Technical, Harlow 1992.
    (with G. C. Hsiao)
  36. One-dimensional thermomechanical phase transitions with nonconvex potentials of Ginzburg-Landau type.
    In: "Nonlinear Evolution Equations That Change Type" (B. L. Keyfitz, M. Shearer, eds.), 243 - 257. IMA Volumes in Math. and Appl. Vol. 27, Springer-Verlag, New York 1990.
  37. Dynamical shape control of nonlinear thin rods.
    In: "Optimal Control of Partial Differential Equations" (K.-H. Hoffmann, W. Krabs, eds.), 202 - 208. Lecture Notes in Control and Information Sciences Vol. 149, Springer-Verlag, Berlin 1990.
    (with J. Soko\lowski)
  38. Automatic control of one-dimensional thermomechanical phase transitions.
    In: International Series of Numerical Mathematics Vol. 88, 89 - 98. Birkhäuser Verlag, Basel 1989.
  39. Towards the identification of ordinary differential equations from measurements.
    Proceedings of the Centre for Math. Anal. of the Australian National University Vol. 17, 13 - 79 , 1988.
    (with K.-H. Hoffmann)
  40. On the dynamics of structural phase transitions in Shape Memory Alloys.
    In: "Nonclassical Continuum Mechanics" (R. J. Knops, A. A. Lacey, eds.), LMS Lecture Notes Series Vol. 122, 284 - 302. Cambridge University Press, Cambridge 1987.
    (with M. Niezgódka)
  41. Identification of parameters in distributed systems: an overview.
    In: "X. Symposium on Operations Research" (M. J. Beckmann et. al., eds.), Methods of Operations Research Vol. 54, 163 - 176. Verlag Anton Hain, Frankfurt/Main 1986.
  42. The method of asymptotic regularization and restricted parameter identification problems in variational inequalities.
    In: "Free Boundary Problems: Theory and Applications Vol. IV" (A. Bossavit, A. Damlamian, M. Frémond, eds.), 508 - 513. Research Notes in Mathematics Vol. 122, Pitman, London 1985.
    (with K.-H. Hoffmann)
  43. Mathematical modelling of thermal and diffusive phase transitions: identification of parameters, numerical treatment.
    In: "Symposium Franco-Polonais Gel et Genie Civil" (Z. Grabowski, ed.), 39 - 54. Warschau 1985.
    (with K.-H. Hoffmann, M. Niezgódka, I. Pawlow)
  44. Real-time control in a free boundary problem connected with the continuous casting of steel.
    In: International Series of Numerical Mathematics Vol. 68, 127 - 143. Birkhäuser Verlag, Basel 1984.
    (with K.-H. Hoffmann)
  45. A numerical procedure to solve certain identification problems.
    In: International Series of Numerical Mathematics Vol. 68, 11 - 43. Birkhäuser Verlag, Basel 1984.
    (with H. W. Alt, K.-H. Hoffmann)
  46. Automatic delay-control in a two-phase Stefan problem. In: International Series of Numerical Mathematics Vol. 62, 119 - 135. Birkhäuser Verlag, Basel 1983.
    (with K.-H. Hoffmann)
  47. On the automatic control of the free boundary in a one-phase Stefan problem.
    In: "Applied Nonlinear Functional Analysis" (R. Gorenflo, K.-H. Hoffmann, eds.), Methoden und Verfahren der Mathematischen Physik Vol. 25, 301 - 310. Lang-Verlag, Frankfurt/Main 1983.
  48. Bounds for the critical value of a nonlinear circular membrane under normal pressure.
    In: International Series of Numerical Mathematics Vol. 48, 170 - 175. Birkhäuser Verlag, Basel 1979.
    (with H. Voß)
  49. Iterationsverfahren zur Einschließung positiver Lösungen superlinearer Integralgleichungen.
    In: International Series of Numerical Mathematics Vol. 39, 261 - 279. Birkhäuser Verlag, Basel 1978.