Asymptotics for Dissipative Nonlinear Equations
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.
| Autor: | Hayashi, Nakao Kaikina, Elena I. Naumkin, Pavel Shishmarev, Ilya A. |
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| ISBN: | 9783540320593 |
| Sprache: | Englisch |
| Seitenzahl: | 557 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Berlin |
| Veröffentlicht: | 21.04.2006 |
| Schlagworte: | Asymptotic methods Cauchy problem global existence nonlinear evolution equations partial differential equation partial differential equations pseudodifferential operators wave equation |