Asymptotics for Dissipative Nonlinear Equations

Nakao Hayashi

ISBN 10: 3540320598 / ISBN 13: 9783540320593

Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Apr 2006, 2006

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Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 576 pp. Englisch.

Codice articolo 9783540320593

Dati bibliografici

• Titolo: Asymptotics for Dissipative Nonlinear Equations
• Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg Apr 2006
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 3540320598
• ISBN 13: 9783540320593
• Rilegatura: Taschenbuch
• Condizione: Neu

Descrizione articolo

Riassunto

This is the first book in 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.

Contenuti

Preliminary results.- Weak Nonlinearity.- Critical Nonconvective Equations.- Critical Convective Equations.- Subcritical Nonconvective Equations.- Subcritical Convective Equations.