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Partial Differential Equations: Theory, Control and Approximation

In Honor of the Scientific Heritage of Jacques-Louis Lions

  • Book
  • © 2014

Overview

Editors:
  1. Philippe G. Ciarlet

    1. Dept. Mathematics, City University of Hong Kong, Hong Kong, Hong Kong SAR

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  2. Tatsien Li

    1. School of Mathematical Sciences, Fudan University, Shanghai, People's Republic of China

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  3. Yvon Maday

    1. Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie(Paris VI), Paris, France

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  • Provide important information on the frontiers of partial differential equations, control theory and numerical analysis, and scientific computation

  • All the contributors are leading experts in their respective fields

  • Published in honor of the scientific legacy of the exceptional mathematician Jacques-Louis Lions

  • Includes supplementary material: sn.pub/extras

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-VIII
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  2. Control and Nash Games with Mean Field Effect

    • Alain Bensoussan, Jens Frehse
    Pages 1-39

  3. The Rain on Underground Porous Media

    • Christine Bernardi, Adel Blouza, Linda El Alaoui
    Pages 41-66

  4. Finite Volume Multilevel Approximation of the Shallow Water Equations

    • Arthur Bousquet, Martine Marion, Roger Temam
    Pages 67-98

  5. Non-Gaussian Test Models for Prediction and State Estimation with Model Errors

    • Michal Branicki, Nan Chen, Andrew J. Majda
    Pages 99-138

  6. Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern Formation

    • Claude-Michel Brauner, Lina Hu, Luca Lorenzi
    Pages 139-169

  7. Implicit Sampling, with Application to Data Assimilation

    • Alexandre J. Chorin, Matthias Morzfeld, Xuemin Tu
    Pages 171-182

  8. Periodic Homogenization for Inner Boundary Conditions with Equi-valued Surfaces: The Unfolding Approach

    • Doina Cioranescu, Alain Damlamian, Tatsien Li
    Pages 183-209

  9. Global Null Controllability of the 1-Dimensional Nonlinear Slow Diffusion Equation

    • Jean-Michel Coron, Jesús Ildefonso Díaz, Abdelmalek Drici, Tommaso Mingazzini
    Pages 211-224

  10. Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences

    • Jean Dolbeault, Maria J. Esteban, Michal Kowalczyk, Michael Loss
    Pages 225-242

  11. On the Numerical Solution to a Nonlinear Wave Equation Associated with the First Painlevé Equation: An Operator-Splitting Approach

    • Roland Glowinski, Annalisa Quaini
    Pages 243-264

  12. MsFEM à la Crouzeix-Raviart for Highly Oscillatory Elliptic Problems

    • Claude Le Bris, Frédéric Legoll, Alexei Lozinski
    Pages 265-294

  13. Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls

    • Tatsien Li, Bopeng Rao
    Pages 295-321

  14. Mixing Monte-Carlo and Partial Differential Equations for Pricing Options

    • Tobias Lipp, Grégoire Loeper, Olivier Pironneau
    Pages 323-347

  15. h−P Finite Element Approximation for Full-Potential Electronic Structure Calculations

    • Yvon Maday
    Pages 349-377

  16. Increasing Powers in a Degenerate Parabolic Logistic Equation

    • José Francisco Rodrigues, Hugo Tavares
    Pages 379-399

  17. Composite Waves for a Cell Population System Modeling Tumor Growth and Invasion

    • Min Tang, Nicolas Vauchelet, Ibrahim Cheddadi, Irene Vignon-Clementel, Dirk Drasdo, Benoît Perthame
    Pages 401-429
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Keywords

About this book

This book collects papers mainly presented at the "International Conference on Partial Differential Equations: Theory, Control and Approximation" (May 28 to June 1, 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.

Editors and Affiliations

  • Dept. Mathematics, City University of Hong Kong, Hong Kong, Hong Kong SAR

    Philippe G. Ciarlet

  • School of Mathematical Sciences, Fudan University, Shanghai, People's Republic of China

    Tatsien Li

  • Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie(Paris VI), Paris, France

    Yvon Maday

Bibliographic Information

  • Book Title: Partial Differential Equations: Theory, Control and Approximation

  • Book Subtitle: In Honor of the Scientific Heritage of Jacques-Louis Lions

  • Editors: Philippe G. Ciarlet, Tatsien Li, Yvon Maday

  • DOI: https://doi.org/10.1007/978-3-642-41401-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2014

  • Hardcover ISBN: 978-3-642-41400-8Published: 16 December 2013

  • Softcover ISBN: 978-3-662-51434-4Published: 23 August 2016

  • eBook ISBN: 978-3-642-41401-5Published: 29 November 2013

  • Edition Number: 1

  • Number of Pages: VIII, 429

  • Number of Illustrations: 30 b/w illustrations, 43 illustrations in colour

  • Topics: Partial Differential Equations, Calculus of Variations and Optimal Control; Optimization, Numerical Analysis

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