Asymptotics for Dissipative Nonlinear Equations - Nakao Hayashi,Pavel Naumkin,Ilya A. Shishmarev,Elena I. Kaikina
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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 diffe ... Full description
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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.
More Information
| Author | Nakao Hayashi, Pavel Naumkin, Ilya A. Shishmarev, Elena I. Kaikina |
|---|---|
| Publisher | Springer Berlin Heidelberg |
| Series | Lecture Notes in Mathematics |
| Release year | 2006 |
| Cover type | Softcover |
| EAN | 9783540320593 |