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A thin film approximation of the Muskat problem with gravity and capillary forces, J. Math. Soc. Japan 66 (2014), 1043--1071.
with Joachim Escher and Bogdan-Vasile Matioc,
Thin film approximations to the Muskat problem, Actes du Colloque EDP-Normandie, Le Havre 2012, 2013, pp. 83--91.
with Bogdan-Vasile Matioc,
A gradient flow approach to a thin film approximation of the Muskat problem, Calc. Var. Partial Differential Equations 47 (2013), 319--341.
with Joachim Escher, Matthieu Hillairet and Christoph Walker,
Weak solutions to a thin film model with capillary effects and insoluble surfactant, Nonlinearity 25 (2012), 2423--2441.
with Joachim Escher, Matthieu Hillairet and Christoph Walker,
Thin film equations with soluble surfactant and gravity: Modeling and stability of steady states, Math. Nachr. 285 (2012), 210--222.
with Joachim Escher, Matthieu Hillairet and Christoph Walker,
Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant, Indiana Univ. Math. J. 60 (2011), 1975--2020.
with Georgy Kitavtsev and Barbara Niethammer,
Weak solutions to lubrication equations in the presence of strong slippage, Methods Appl. Anal. 18 (2011), 183--202.
with Joachim Escher and Bogdan-Vasile Matioc,
Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media, Ann. Inst. H. Poincaré Anal. Non Linéaire 28 (2011), 583--598.
with Eduard Feireisl and Andro Mikelić,
Global-in-time solutions for the isothermal Matovich-Pearson equations, Nonlinearity 24 (2011), 277--292.
with Eduard Feireisl,
Non-isothermal Smoluchowski-Poisson equations as a singular limit of the Navier-Stokes-Fourier-Poisson system, J. Math. Pures Appl. 88 (2007), 325--349.
with Christoph Walker,
Stationary states to a free boundary transmission problem for an electrostatically actuated plate, NoDEA Nonlinear Differential Equations Appl. 30 (2023), art. 2.
with Christoph Walker,
H2-regularity for a two-dimensional transmission problem with geometric constraint, Math. Z. 302 (2022), 1879--1904.
with Katerina Nik and Christoph Walker,
Energy minimizers for an asymptotic MEMS model with heterogeneous dielectric properties, Calc. Var. Partial Differential Equations 61 (2022), art. 16.
with Katerina Nik and Christoph Walker,
Reinforced limit of a MEMS model with heterogeneous dielectric properties, Appl. Math. Optim. 84 (2021), 1373--1393.
with Katerina Nik and Christoph Walker,
Convergence of energy minimizers of a MEMS model in the reinforced limit, Acta Appl. Math. 179 (2021), art. 9.
with Christoph Walker,
Variational solutions to an evolution model for MEMS with heterogeneous dielectric properties, Discrete Contin. Dynam. Systems S 14 (2021), 677--694.
with Christoph Walker,
Touchdown is the only finite time singularity in a three-dimensional MEMS model, Ann. Math. Blaise Pascal 27 (2020), 65--81.
with Christoph Walker,
Stationary solutions to a nonlocal fourth-order elliptic obstacle problem, J. Elliptic Parabolic Equations 6 (2020), 171--186.
with Christoph Walker,
Shape derivative of the Dirichlet energy for a transmission problem, Arch. Rational Mech. Anal. 237 (2020), 447--496.
with Christoph Walker,
Erratum to: A variational approach to a stationary free boundary problem modeling MEMS, ESAIM Control Optim. Calc. Var. 25 (2019), art. 54.
with Christoph Walker,
Finite time singularity in a MEMS model revisited, Z. Anal. Anwend. 37 (2018), 209--219.
with Christoph Walker,
Heterogeneous dielectric properties in MEMS models, SIAM J. Appl. Math. 78 (2018), 504--530.
with Christoph Walker,
A constrained model for MEMS with varying dielectric properties, J. Elliptic Parabolic Equations 3 (2017), 15--51.
with Christoph Walker,
Vanishing aspect ratio limit for a fourth-order MEMS model, Ann. Mat. Pura Appl. 196 (2017), 1537--1556.
with Christoph Walker,
Some singular equations modeling MEMS, Bull. Amer. Math. Soc. 54 (2017), 437--479.
with Christoph Walker,
On a three-dimensional free boundary problem modeling electrostatic MEMS, Interfaces Free Bound. 18 (2016), 393--411.
with Christoph Walker,
A variational approach to a stationary free boundary problem modeling MEMS, ESAIM Control Optim. Calc. Var. 22 (2016), 417--438.
with Christoph Walker,
Sign-preserving property for some fourth-order elliptic operators in one dimension and radial symmetry, J. Anal. Math. 127 (2015), 69--89.
with Christoph Walker,
The time singular limit for a fourth-order damped wave equation for MEMS, in ``Elliptic and Parabolic Equations. Hannover September 2013'', J. Escher, E. Schrohe, J. Seiler & Ch. Walker (eds.), Springer Proceedings in Mathematics & Statistics 119, Springer, pp. 233--246, 2015.
with Joachim Escher and Christoph Walker,
Dynamics of a free boundary problem with curvature modeling electrostatic MEMS, Trans. Amer. Math. Soc. 367 (2015), 5693--5719.
with Christoph Walker,
A fourth-order model for MEMS with clamped boundary conditions, Proc. London Math. Soc. 109 (2014), 1435--1464.
with Christoph Walker,
A free boundary problem modeling electrostatic MEMS: I. Linear bending effects, Math. Ann. 360 (2014), 307--349.
with Christoph Walker,
A free boundary problem modeling electrostatic MEMS: II. Nonlinear bending effects, Math. Models Methods Appl. Sci. 24 (2014), 2549--2568.
with Joachim Escher and Christoph Walker,
A parabolic free boundary problem modeling electrostatic MEMS, Arch. Rational Mech. Anal. 211 (2014), 389--417.
with Joachim Escher and Christoph Walker,
Finite time singularity in a free boundary problem modeling MEMS, C. R. Acad. Sci. Paris, Sér. I 351 (2013), 807--812.
with Christoph Walker,
A stationary free boundary problem modeling electrostatic MEMS, Arch. Rational Mech. Anal. 207 (2013), 139--158.
Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line, Czechoslovak Math. J. 48 (1998), 85--94.
with Eduard Feireisl and Frédérique Simondon,
Global attractors for degenerate parabolic equations on unbounded domains, J. Differential Equations 129 (1996), 239--261.
with Eduard Feireisl and Frédérique Simondon,
Compact attractors for degenerate parabolic equations in RN, C. R. Acad. Sci. Paris Sér. I Math. 320 (1995), 1079--1083.
with Eduard Feireisl, Frédérique Simondon and Hamidou Touré,
Compact attractors for reaction-diffusion equations in RN, C. R. Acad. Sci. Paris Sér. I Math. 319 (1994), 147--151.
Semicontinuité supérieure des attracteurs associés à l'approximation d'une équation de réaction-diffusion avec contraintes, C. R. Acad. Sci. Paris Sér. I Math. 318 (1994), 37--41.
with Christoph Walker,
A nonlocal Gray-Scott model: well-posedness and diffusive limit, Discrete Contin. Dynam. Systems - S 16 (2023), 3709--3732.
with Danielle Hilhorst and Thanh-Nam Nguyen,
Large time behavior and Lyapunov functionals for a nonlocal differential equation, NoDEA Nonlinear Differential Equations Appl. 23 (2016), art. 30.
with Saïd Benachour, Francis Filbet and Eric Sonnendrücker,
Global existence for the Vlasov-Darwin system in R3 for small initial data, Math. Methods Appl. Sci. 26 (2003), 297--319.
with Pavel Krejčí,
Hysteresis filtering in the space of bounded measurable functions, Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 5 (2002), 755--772.
with Pavel Krejčí,
Generalized variational inequalities, J. Convex Anal. 9 (2002), 159--183.
The Young inequality and the Δ2-condition, Colloq. Math. 94 (2002), 221--223.
On a nonlinear Schrödinger equation arising in the theory of water waves, Nonlinear Anal. 24 (1995), 509--527.
A remark on the topological α-entropy of Lipschitz continuous maps, Publ. Math. Besançon, Analyse non linéaire 14 (1994), 77--79.
with Stéphane Jaffard,
Orthonormal wavelets, analysis of operators and applications to numerical analysis, in "Wavelets : a tutorial in theory and applications", C.K. Chui (ed.), Academic Press, 1992, pp. 543--601.
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