Partial Differential Equations: Theory, Control and Approximation: In Honor of the Scientific Heritage of Jacques-Louis Lions

Content: 
Front Matter....Pages I-VIII
Control and Nash Games with Mean Field Effect....Pages 1-39
The Rain on Underground Porous Media....Pages 41-66
Finite Volume Multilevel Approximation of the Shallow Water Equations....Pages 67-98
Non-Gaussian Test Models for Prediction and State Estimation with Model Errors....Pages 99-138
Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation....Pages 139-169
Implicit Sampling, with Application to Data Assimilation....Pages 171-182
Periodic Homogenization for Inner Boundary Conditions with Equi-valued Surfaces: The Unfolding Approach....Pages 183-209
Global Null Controllability of the 1-Dimensional Nonlinear Slow Diffusion Equation....Pages 211-224
Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences....Pages 225-242
On the Numerical Solution to a Nonlinear Wave Equation Associated with the First Painlevé Equation: An Operator-Splitting Approach....Pages 243-264
MsFEM � la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems....Pages 265-294
Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls....Pages 295-321
Mixing Monte-Carlo and Partial Differential Equations for Pricing Options....Pages 323-347
 h−P Finite Element Approximation for Full-Potential Electronic Structure Calculations....Pages 349-377
Increasing Powers in a Degenerate Parabolic Logistic Equation....Pages 379-399
Composite Waves for a Cell Population System Modeling Tumor Growth and Invasion....Pages 401-429