Advances in Nonlinear Partial Differential Equations and Stochastics

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World Scientific, 1998 - Mathematics - 351 pages
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In the past two decades, there has been great progress in the theory of nonlinear partial differential equations. This book describes the progress, focusing on interesting topics in gas dynamics, fluid dynamics, elastodynamics etc. It contains ten articles, each of which discusses a very recent result obtained by the author. Some of these articles review related results.
 

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Contents

The Null Condition and Global Existence of Solutions
43
Scaling Limits for Large Systems of Interacting Particles
87
Regularity of Solutions of Initial Boundary Value Problems
133
On the HalfSpace Problem for the Discrete Velocity
160
Blowup Life Span and Large Time Behavior of Solutions to
175
On a Decay Rate of Solutions to OneDimensional Thermoelastic
198
Bifurcation Phenomena for the Duffing Equation
292
Some Remarks on the Compactness Method
319
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