Asymptotics for Dissipative Nonlinear Equations 1

Vetenskap & teknik

Asymptotics for Dissipative Nonlinear Equations

Nakao Hayashi • Elena I Kaikina • Pavel Naumkin • Ilya A Shishmarev

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557 sidor
2006

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.

Författare: Nakao Hayashi, Elena I Kaikina, Pavel Naumkin, Ilya A Shishmarev
Format: Pocket/Paperback
ISBN: 9783540320593
Språk: Engelska
Antal sidor: 557
Utgivningsdatum: 2006-04-01
Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K