Nonlinear Evolution Equations - 1st Edition - ISBN: 9780121952501, 9781483269283

Nonlinear Evolution Equations

1st Edition

Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 17–19, 1977

Editors: Michael G. Crandall
eBook ISBN: 9781483269283
Imprint: Academic Press
Published Date: 28th January 1978
Page Count: 266
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Nonlinear Evolution Equation covers the proceedings of the Symposium by the same title, conducted by the Mathematics Research Center at the University of Wisconsin, Madison on October 17-19, 1977.

This book is divided into 13 chapters and begins with reviews of the uniqueness of solution to systems of conservation laws and the computational aspects of Glimm’s method. The next chapters examine the theoretical and practical aspects of Boltzmann, Navier-Stokes, and evolution equations. These topics are followed by discussions of the practical applications of Trotter’s product formula for some nonlinear semigroups and the finite time blow-up in nonlinear problems. The closing chapters deal with a Hamiltonian approach to the K-dV and other equations, along with a variational method for finding periodic solutions of differential equations.

This book will prove useful to mathematicians and engineers.

Table of Contents

List of Contributors


Entropy and the Uniqueness of Solutions to Hyperbolic Conservation Laws

Computational Aspects of Glimm's Method

The Initial Value Problem of the Boltzmann Equation and Its Fluid Dynamical Limit at the Level of Compressible Euler Equation

On Some Problems Connected with Navier Stokes Equations

Everywhere Defined Wave Operators

Asymptotic Behavior of Solutions of Evolution Equations

Results and Open Questions in the Asymptotic Theory of Reaction-Diffusion Equations

Asymptotic Behavior of Some Evolution Systems

Trotter's Product Formula for Some Nonlinear Semigroups

Application of Nonlinear Semigroup Theory to Certain Partial Differential Equations

Finite Time Blow-Up in Nonlinear Problems

A Hamiltonian Approach to the K-dV and Other Equations

A Variational Method for Finding Periodic Solutions of Differential Equations



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© Academic Press 1978
Academic Press
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About the Editor

Michael G. Crandall

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