Title: Asymptotics for Dissipative Nonlinear Equations (Lecture Notes in Mathematics, 1884)
Publisher: Springer
Publication Date: 2006
Language: English
ISBN 10: 3540320598
ISBN 13: 9783540320593
Binding: Soft cover
Condition: New

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Synopsis

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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