Overview

Many of problems of the natural sciences lead to nonlinear partial differential equations. However, only a few of them have succeeded in being solved explicitly. Therefore different methods of qualitative analysis such as the asymptotic methods play a very important role. This is the first book in the world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.

Full Product Details

Author:   Nakao Hayashi ,  Elena I. Kaikina ,  Pavel Naumkin ,  Ilya A. Shishmarev
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2006 ed.
Volume:   1884
Dimensions:   Width: 15.50cm , Height: 2.90cm , Length: 23.50cm
Weight:   1.760kg
ISBN:  

9783540320593

ISBN 10:   3540320598
Pages:   557
Publication Date:   21 April 2006
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Preliminary results.- Weak Nonlinearity.- Critical Nonconvective Equations.- Critical Convective Equations.- Subcritical Nonconvective Equations.- Subcritical Convective Equations.

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