Handbook of Differential Equations: Evolutionary Equations, Volume 2

1st Edition

Editors: C.M. Dafermos Eduard Feireisl
Hardcover ISBN: 9780444520487
eBook ISBN: 9780080461380
Imprint: North Holland
Published Date: 5th October 2005
Page Count: 676
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Table of Contents

Contents Preface

  1. Euler Equations and Related Hyperbolic Conservations Laws, (G.-Q. Chen).
  2. Blow-up of Solutions of Supercritical Parabolic Equations, (M. Fila).
  3. The Boltzmann Equation and Its Hydrodynamic limits, (F. Golse).
  4. Long-Time Behaviour of Solutions to Hyperbolic Equations with Hysteresis, (P. Krejci).
  5. Mathematical Issues Concerning the Navier-Stokes Equations and some of their Generalizations, (J. Málek, K.R. Rajagopal).
  6. Evolution of Rate-Independent Systems, (A. Mielke).
  7. On the Global Weak Solutions to a Variational Wave Equation, (P. Zhang, Y. Zheng).

Description

The aim of this Handbook is to acquaint the reader with the current status of the theory of evolutionary partial differential equations, and with some of its applications. Evolutionary partial differential equations made their first appearance in the 18th century, in the endeavor to understand the motion of fluids and other continuous media. The active research effort over the span of two centuries, combined with the wide variety of physical phenomena that had to be explained, has resulted in an enormous body of literature. Any attempt to produce a comprehensive survey would be futile. The aim here is to collect review articles, written by leading experts, which will highlight the present and expected future directions of development of the field. The emphasis will be on nonlinear equations, which pose the most challenging problems today.

Key Features

. Volume I of this Handbook does focus on the abstract theory of evolutionary equations. . Volume 2 considers more concrete problems relating to specific applications. . Together they provide a panorama of this amazingly complex and rapidly developing branch of mathematics.

Readership

University libraries and Research mathematicians.


Details

No. of pages:
676
Language:
English
Copyright:
© North Holland 2005
Published:
Imprint:
North Holland
eBook ISBN:
9780080461380
Hardcover ISBN:
9780444520487

About the Editors

C.M. Dafermos Editor

Affiliations and Expertise

Brown University, Providence, RI, USA

Eduard Feireisl Editor

Affiliations and Expertise

Mathematical Institute AS CR, Prague, Czech Republic.