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Title Partial differential equations : theory, control and approximation : in honor of the scientific heritage of Jacques-Louis Lions / Philippe G. Ciarlet, Tatsien Li, Yvon Maday, editors
Published Heidelberg : Springer, 2014
Table of Contents
 Control and Nash Games with Mean Field Effect / Jens Frehse1
 The Rain on Underground Porous Media / Linda El Alaoui41
 Finite Volume Multilevel Approximation of the Shallow Water Equations / Roger Temam67
 Non-Gaussian Test Models for Prediction and State Estimation with Model Errors / Andrew J. Majda99
 Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation / Luca Lorenzi139
 Implicit Sampling, with Application to Data Assimilation / Xuemin Tu171
 Periodic Homogenization for Inner Boundary Conditions with Equivalued Surfaces: The Unfolding Approach / Tatsien Li183
 Global Null Controllability of the 1-Dimensional Nonlinear Slow Diffusion Equation / Tommaso Mingazzini211
 Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences / Michael Loss225
 On the Numerical Solution to a Nonlinear Wave Equation Associated with the First Painleve Equation: An Operator-Splitting Approach / Annalisa Quaini243
 MsFEM a la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems / Alexei Lozinski265
 Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls / Bopeng Rao295
 Mixing Monte-Carlo and Partial Differential Equations for Pricing Options / Olivier Pironneau323
 h - P Finite Element Approximation for Full-Potential Electronic Structure Calculations / Yvon Maday349
 Increasing Powers in a Degenerate Parabolic Logistic Equation / Hugo Tavares379
 Composite Waves for a Cell Population System Modeling Tumor Growth and Invasion / Benoit Perthame401

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Description 1 online resource (viii, 429 pages) : illustrations (some color)
Contents Control and Nash Games with Mean Field Effect / Alain Bensoussan and Jens Frehse -- The Rain on Underground Porous Media / Christine Bernardi, Adel Blouza and Linda El Alaoui -- Finite Volume Multilevel Approximation of the Shallow Water Equations / Arthur Bousquet, Martine Marion and Roger Temam -- Non-Gaussian Test Models for Prediction and State Estimation with Model Errors / Michal Branicki, Nan Chen and Andrew J. Majda -- Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation / Claude-Michel Brauner, Lina Hu and Luca Lorenzi -- Implicit Sampling, with Application to Data Assimilation / Alexandre J. Chorin, Matthias Morzfeld and Xuemin Tu -- Periodic Homogenization for Inner Boundary Conditions with Equi-valued Surfaces: The Unfolding Approach / Doina Cioranescu, Alain Damlamian and Tatsien Li -- Global Null Controllability of the 1-Dimensional Nonlinear Slow Diffusion Equation / Jean-Michel Coron, Jesús Ildefonso Díaz, Abdelmalek Drici and Tommaso Mingazzini -- Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences / Jean Dolbeault, Maria J. Esteban, Michal Kowalczyk and Michael Loss -- On the Numerical Solution to a Nonlinear Wave Equation Associated with the First Painlevé Equation: An Operator-Splitting Approach / Roland Glowinski and Annalisa Quaini -- MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems / Claude Le Bris, Frédéric Legoll and Alexei Lozinski -- Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls / Tatsien Li and Bopeng Rao -- Mixing Monte-Carlo and Partial Differential Equations for Pricing Options / Tobias Lipp, Grégoire Loeper and Olivier Pironneau -- h -- P Finite Element Approximation for Full-Potential Electronic Structure Calculations / Yvon Maday -- Increasing Powers in a Degenerate Parabolic Logistic Equation / José Francisco Rodrigues and Hugo Tavares -- Composite Waves for a Cell Population System Modeling Tumor Growth and Invasion / Min Tang, Nicolas Vauchelet, Ibrahim Cheddadi, Irene Vignon-Clementel, Dirk Drasdo and Benoît Perthame
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
Summary This book collects papers mainly presented at the "International Conference on Partial Differential Equations: Theory, Control and Approximation" (May 28 to June1, 2012 in Shanghai) in honor of the scientific legacy of the exceptional mathematician Jacques-Louis Lions. The contributors are leading experts from all over the world, including members of the Academies of Sciences in France, the USA and China etc., and their papers cover key fields of research, e.g. partial differential equations, control theory and numerical analysis, that Jacques-Louis Lions created or contributed so much to establishing
Bibliography Includes bibliographical references
Notes English
Online resource; title from PDF title page (SpringerLink, viewed December 3, 2013)
In Springer eBooks
Subject Differential equations, Partial -- Congresses
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Differential equations, Partial
Genre/Form Festschriften
Conference papers and proceedings
Festschriften.
Form Electronic book
Author Ciarlet, Philippe G., editor
Li, Daqian, editor
Maday, Yvon, editor
Lions, J.-L. (Jacques-Louis), 1928-2001, honouree.
ISBN 9783642414015
364241401X
3642414001
9783642414008