
Handbook of Differential Equations: Evolutionary Equations: Volume 2
Evolutionary Equations
North-Holland (Publisher)
Published on 5. October 2005
Book
Hardback
676 pages
978-0-444-52048-7 (ISBN)
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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.
More details
Series
Language
English
Place of publication
United States
Publishing group
Elsevier Science & Technology
Target group
Professional and scholarly
University libraries and Research mathematicians.
Product notice
Laminated cover
Dimensions
Height: 234 mm
Width: 156 mm
Thickness: 37 mm
Weight
1119 gr
ISBN-13
978-0-444-52048-7 (9780444520487)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Editor
Brown University, Providence, RI, USA
Mathematical Institute AS CR, Prague, Czech Republic.
Content
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. Malek, 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).
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. Malek, 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).