WIAS Preprint List: Druet, Pierre-Étienne

• 2967: Druet, Pierre-Étienne; Hopf, Katharina; Jüngel, Ansgar
  Hyperbolic-parabolic normal form and local classical solutions for cross-diffusion systems with incomplete diffusion
  Appeared in: Comm. Partial Differential Equations, 48 (2023), pp. 863--894, DOI 10.1080/03605302.2023.2212479 .
• 2930: Druet, Pierre-Étienne
  Incompressible limit for a fluid mixture
  Appeared in: Nonlin. Anal.-Real World Appl., 72 (2023), 103859, DOI 10.1016/j.nonrwa.2023.103859 .
• 2869: Druet, Pierre-Étienne
  Maximal mixed parabolic-hyperbolic regularity for the full equations of multicomponent fluid dynamics
  Appeared in: Nonlinearity, 35 (2022), pp. 3812--3882, DOI 10.1088/1361-6544/ac5679 .
• 2825: Bothe, Dieter; Dreyer, Wolfgang; Druet, Pierre-Étienne
  Multicomponent incompressible fluids -- An asymptotic study
  Appeared in: ZAMM Z. Angew. Math. Mech., published online on 14.01.2022, DOI 10.1002/zamm.202100174 .
• 2749: Bothe, Dieter; Druet, Pierre-Étienne
  On the structure of continuum thermodynamical diffusion fluxes -- A novel closure scheme and its relation to the Maxwell--Stefan and the Fick--Onsager approach
  Appeared in: Int. J. Engineering Sci., vol. 184, March 2023, 103818.
• 2720: Bothe, Dieter; Druet, Pierre-Étienne
  Well-posedness analysis of multicomponent incompressible flow models
  Appeared in: J. Evol. Equ., 21 (2021), pp. 4039--4093, DOI 10.1007/s00028-021-00712-3 .
• 2700: Druet, Pierre-Étienne
  A theory of generalised solutions for ideal gas mixtures with Maxwell--Stefan diffusion
  Appeared in: Discrete Contin. Dyn. Syst. Ser. S, 14 (2021), pp. 4035--4067(published online in Nov 2020), DOI 10.3934/dcdss.2020458 .
• 2658: Bothe, Dieter; Druet, Pierre-Étienne
  Mass transport in multicomponent compressible fluids: Local and global well-posedness in classes of strong solutions for general class-one models
  Appeared in: Nonlinear Anal., 210 (2021), 112389, DOI 10.1016/j.na.2021.112389 .
• 2646: Druet, Pierre-Étienne; Jüngel, Ansgar
  Analysis of cross-diffusion systems for fluid mixtures driven by a pressure gradient
  Appeared in: SIAM J. Math. Anal., 52 (2020), pp. 2179--2197, DOI 10.1137/19M1301473 .
• 2622: Druet, Pierre-Étienne
  Global-in-time existence for liquid mixtures subject to a generalised incompressibility constraint
  Appeared in: J. Math. Anal. Appl., 499 (2021), 125059, DOI 10.1016/j.jmaa.2021.125059 .
• 2455: Druet, Pierre-Étienne
  Global--in--time solvability of thermodynamically motivated parabolic systems
  
• 2454: Druet, Pierre-Étienne
  Local well-posedness for thermodynamically motivated quasilinear parabolic systems in divergence form
  
• 2397: Dreyer, Wolfgang; Druet, Pierre-Étienne; Gajewski, Paul; Guhlke, Clemens
  Analysis of improved Nernst--Planck--Poisson models of compressible isothermal electrolytes. Part III: Compactness and convergence
  Appeared in: ZAMP Z. Angew. Math. Phys., 71 (2020), pp. 119/1--119/68, DOI 10.1007/s00033-020-01341-5 .
• 2396: Dreyer, Wolfgang; Druet, Pierre-Étienne; Gajewski, Paul; Guhlke, Clemens
  Analysis of improved Nernst--Planck--Poisson models of compressible isothermal electrolytes. Part II: Approximation and a priori estimates
  Appeared in: ZAMP Z. Angew. Math. Phys., 71 (2020), pp. 119/1--119/68, DOI 10.1007/s00033-020-01341-5 .
• 2395: Dreyer, Wolfgang; Druet, Pierre-Étienne; Gajewski, Paul; Guhlke, Clemens
  Analysis of improved Nernst--Planck--Poisson models of compressible isothermal electrolytes. Part I: Derivation of the model and survey of the results
  Appeared in: ZAMP Z. Angew. Math. Phys., 71 (2020), pp. 119/1--119/68, DOI 10.1007/s00033-020-01341-5 .
• 2321: Druet, Pierre-Étienne
  Analysis of improved Nernst--Planck--Poisson models of isothermal compressible electrolytes subject to chemical reactions: The case of a degenerate mobility matrix
  
• 2291: Dreyer, Wolfgang; Druet, Pierre-Étienne; Gajewski, Paul; Guhlke, Clemens
  Existence of weak solutions for improved Nernst--Planck--Poisson models of compressible reacting electrolytes
  
• 1897: Druet, Pierre-Étienne
  A curvature estimate for open surfaces subject to a general mean curvature operator and natural contact conditions at their boundary
  
• 1875: Druet, Pierre-Étienne
  Regularity of second derivatives in elliptic transmission problems near an interior regular multiple line of contact
  Appeared in: Math. Methods Appl. Sci., 41 (2018), pp. 6457--6479, DOI 10.1002/mma.5170 .
• 1870: Druet, Pierre-Étienne
  Higher $L^p$ regularity for vector fields that satisfy divergence and rotation constraints in dual Sobolev spaces, and application to some low-frequency Maxwell equations
  Appeared in: Discrete Contin. Dyn. Syst., 8 (2015) pp. 479--496.
• 1708: Druet, Pierre-Étienne
  Some mathematical problems related to the 2nd order optimal shape of a crystallization interface
  Appeared in: Discrete Contin. Dyn. Syst., 35 (2015) pp. 2443--2463.
• 1689: Dreyer, Wolfgang; Druet, Pierre-Étienne; Klein, Olaf; Sprekels, Jürgen
  Mathematical modeling of Czochralski type growth processes for semiconductor bulk single crystals
  Appeared in: Milan J. Math., 80 (2012) pp. 311--332 .
• 1576: Druet, Pierre-Étienne
  The classical solvability of the contact angle problem for generalized equations of mean curvature type
  Appeared in: Port. Math., 69 (2012) pp. 233--258.
• 1571: Druet, Pierre-Étienne
  Global Lipschitz continuity for elliptic transmission problems with a boundary intersecting interface
  Appeared in: Math. Bohem., 138 (2013) pp. 185--224.
• 1493: Druet, Pierre-Étienne; Philip, Peter
  Noncompactness of integral operators modeling diffuse-gray radiation in polyhedral and transient settings
  Appeared in: Integral Equations Operator Theory, 69 (2011) pp. 101--111.
• 1422: Druet, Pierre-Étienne; Klein, Olaf; Sprekels, Jürgen; Tröltzsch, Fredi; Yousept, Irwin
  Optimal control of 3D state-constrained induction heating problems with nonlocal radiation effects
  Appeared in: SIAM J. Control Optim., 49 (2011) pp. 1707--1736.
• 1290: Druet, Pierre-Étienne
  On weak solutions to the stationary MHD-equations coupled to heat transfer with nonlocal radiation boundary conditions
  Appeared in: Nonlinear Anal. Real World Appl., 10 (2009) pp. 2914--2936.
• 1270: Druet, Pierre-Étienne
  Higher integrability of the Lorentz force for weak solutions to Maxwell's equations in complex geometries
  
• 1253: Druet, Pierre-Étienne
  Weak solutions to a time-dependent heat equation with nonlocal radiation boundary condition and right-hand side in $L^p$ with $pge 1$
  Appeared in: Appl. Math., 55 (2010) pp. 111--149.
• 1240: Druet, Pierre-Étienne
  Weak solutions to a stationary heat equation with nonlocal radiation boundary condition and right-hand side in $L^p$ with $pge 1$
  Appeared in: Math. Methods Appl. Sci., 32 (2008) pp. 135 - 166.