Handbook of differential equations, Volume 2: Evolutionary equations

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 m...

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Bibliographic Details
Main Author: Dafermos, C. M.
Other Authors: Feireisl, Eduard
Format: eBook
Language:English
Published: Amsterdam Elsevier/North Holland 2006, 2006
Edition:1st ed
Subjects:
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
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245 0 0 |a Handbook of differential equations, Volume 2: Evolutionary equations  |c edited by C.M. Dafermos, E. Feireisl 
246 3 1 |a Evolutionary equations 
250 |a 1st ed 
260 |a Amsterdam  |b Elsevier/North Holland  |c 2006, 2006 
300 |a 1 online resource  |b illustrations 
505 0 |a Contents -- Preface -- Euler Equations and Related Hyperbolic Conservations Laws, (G.-Q. Chen) -- Blow-up of Solutions of Supercritical Parabolic Equations, (M. Fila) -- The Boltzmann Equation and Its Hydrodynamic limits, (F. Golse) -- Long-Time Behaviour of Solutions to Hyperbolic Equations with Hysteresis, (P. Krejci) -- Mathematical Issues Concerning the Navier-Stokes Equations and some of their Generalizations, (J. M̀lek, K.R. Rajagopal) -- Evolution of Rate-Independent Systems, (A. Mielke) -- On the Global Weak Solutions to a Variational Wave Equation, (P. Zhang, Y. Zheng) 
505 0 |a Includes bibliographical references and indexes 
653 |a Differential equations / Handbooks, manuals, etc 
653 |a Evolution equations / Handbooks, manuals, etc 
653 |a Evolution equations / fast / (OCoLC)fst00917332 
653 |a Équations d'évolution / Guides, manuels, etc 
653 |a Équations différentielles / Guides, manuels, etc 
653 |a Differential equations / fast / (OCoLC)fst00893446 
700 1 |a Feireisl, Eduard 
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520 |a 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. . 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