ENGLISH

Asymptotics for Dissipative Nonlinear Equations

By Nakao Hayashi , Pavel I. Naumkin , Elena I. Kaikina , Ilya A. Shishmarev (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2006
ISBN
9783540320593, 3-540-32059-8
DOI
10.1007/b133345
ISSN
0075-8434
Open Library ID
OL9056271M
Language
english
Format
PDF
Filesize
6 MB (6033996 bytes)
Series
Lecture notes in mathematics 1884
Edition
1
Pages
557\569
Library
mexmat
Time added
2009-07-20 03:45:11
Partial Differential Equations;Integral Equations;

Description

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.

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