Partial Differential Equations: Theory, Control and Approximation

Control and Nash Games with Mean Field Effect.- The Rain on Underground Porous Media Part I: Analysis of a Richards Model .- Finite Volume Multilevel Approximation of the Shallow Water Equations.- Non-gaussian Test Models for Prediction and State Estimation with Model Errors.- Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation.- Implicit Sampling, with Application to Data Assimilation.- Periodic Homogenization for Inner Boundary Conditions with Equi-valued Surfaces: the Unfolding Approach.- Global Null Controllability of the 1-Dimensional Nonlinear Slow Diffusion Equation.- Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences.- On the Numerical Solution to a Nonlinear Wave Equation Associated with the First Painlev´e Equation: an Operator-Splitting Approach.- MsFEM `a la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems.- Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls.- Mixing Monte-Carlo and Partial Differential Equations for Pricing Options.- Increasing Powers in a Degenerate Parabolic Logistic Equation.- Composite Waves for a Cell Population System Modelling Tumor Growth and Invasion.