Nonlinear Partial Differential Equations and Their Applications

Doina Cioranescu, Jacques-Louis Mions

• A Nonlinear Lax-Milgram Lemma Arising in the Modeling of Elastomers. Regularity for Solutions to the Equation of Surfaces of Prescribed Mean Curvature Using the Coarea Formula. H-Convergence for Perforated Domains. Some Mathematical Problems in Marine Modelling. A Modelling of the Stability of Aluminium Electrolysis Cells. Dense Oscillations for the Compressible 2-d Euler Equations. The Hysteretic Event in the Computation of Magnetism and Magnetostriction. From Three-Dimensional Elasticity to the Nonlinear Membrane Model. Turbulence et structures cohérentes dans les fluides. Construction d'une base spéciale pour la résolution de quelques problèmes non linéaires d'Oceanographie physique en dimension deux. Homogenization of Lattice-Like Domains: L-Convergence. Time Decays: An Analogy between Kinetic Transport, Schrödinger and Gas Dynamics Equations. Théorème d'unicité et contrôle pour les équations hyperboliques. Shock Waves in General Relativity - A Generalization of the Oppenheimer-Snyder Model for Gravitational Collapse. Nonlinear Wave Equations. Mathematical Models of Hysteresis - A Survey.