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Asymptotics for Dissipative Nonlinear Equations

Asymptotics for Dissipative Nonlinear Equations

Paperback

Series: Lecture Notes in Mathematics, Book 1884

General MathematicsPhysics

ISBN10: 3540320598
ISBN13: 9783540320593
Publisher: Springer
Published: Apr 21 2006
Pages: 557
Weight: 1.75
Height: 1.17 Width: 6.14 Depth: 9.21
Language: English

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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General Mathematics