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.