Frontiers in Mathematical Analysis and Numerical Methods : In Memory of Jacques-Louis Lions

by Tatsien, Li

• ISBN13: 9789812389411
• ISBN10: 9812389415
• Format: Hardcover
• Copyright: 2004-07-31
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

This invaluable volume is a collection of articles in memory of Jacques-Louis Lions, a leading mathematician and the founder of the French Applied Mathematics School. The contributions have been written by his colleagues and students, including S S Chern, B Malgrange, G Marchuk, A Bensoussan, P G Ciarlet, Gu Chaohao, R Glowinski, O Pironneau, W Strauss, etc. The book concerns many important results in analysis, geometry, numerical methods, fluid mechanics, control theory, etc.

Table of Contents

Preface	p. vii
Jacques-Louis LIONS, 1928-2001	p. 1
Always Remembered	p. 19
Stable and Unstable Ideal Plane Flows	p. 25
Regularity Theory for Systems of Partial Differential Equations with Neumann Boundary Conditions	p. 47
Sensitivity of Darcy's Law to Discontinuities	p. 69
Reiterated Homogenization of Degenerate Nonlinear Elliptic Equations	p. 83
On the Connection in Finsler Space	p. 97
Operator-Splitting Methods for the Simulation of Bingham Visco-Plastic Flow	p. 105
On the Uniqueness of the Weak Solutions of a Quasilinear Hyperbolic System with a Singular Source Term	p. 131
On the Classification of Initial Data for Nonlinear Wave Equations	p. 143
Regularity Results for Linear Elliptic Problems Related to the Primitive Equations	p. 149
Local Exact Boundary Controllability for a Class of Quasilinear Hyperbolic Systems	p. 171
On Nonlinear Differential Galois Theory	p. 185
Iterative Algorithms for Data Assimilation Problems	p. 197
Quadrilateral Mesh	p. 207
On the Hyperbolic Obstacle Problem of First Order	p. 233
Instability of Traveling Waves of the Kuramoto-Sivashinsky Equation	p. 253
Complexity of Large Time Behaviour of Evolution Equations with Bounded Data	p. 267
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