Asymptotics for Dissipative Nonlinear Equations [electronic resource] /by Nakao Hayashi, Pavel I. Naumkin, Elena I. Kaikina, Ilya A. Shishmarev.
by Hayashi, Nakao [author.]; Naumkin, Pavel I [author.]; Kaikina, Elena I [author.]; Shishmarev, Ilya A [author.]; SpringerLink (Online service).
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BookSeries: Lecture Notes in Mathematics: 1884Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.Description: XI, 562 p. online resource.ISBN: 9783540320609.Subject(s): Mathematics | Integral equations | Differential equations, partial | Mathematical physics | Mathematics | Partial Differential Equations | Integral Equations | Mathematical and Computational PhysicsDDC classification: 515.353 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QA370-380 (Browse shelf) | Available |
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Preliminary results -- Weak Nonlinearity -- Critical Nonconvective Equations -- Critical Convective Equations -- Subcritical Nonconvective Equations -- Subcritical Convective 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.
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