Lecture Notes in Mathematics

Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel; Shishmarev, Ilya A.

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.

Details

Published by: Springer

Publication Date: 2006-04-21

Format: Paperback

ISBN-13: 9783540320593

DOI: 10.1007/b133345

Dimensions: 235cm x155cm

Pages: 557