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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 t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Hayashi, Nakao (Autor), Kaikina, Elena I. (Autor), Naumkin, Pavel (Autor), Shishmarev, Ilya A. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Lecture Notes in Mathematics, 1884
Temas:
Acceso en línea:Texto Completo

MARC

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505 0 |a Preliminary results -- Weak Nonlinearity -- Critical Nonconvective Equations -- Critical Convective Equations -- Subcritical Nonconvective Equations -- Subcritical Convective Equations. 
520 |a 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. 
650 0 |a Mathematical analysis. 
650 0 |a Differential equations. 
650 0 |a Integral equations. 
650 0 |a Mathematical physics. 
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650 2 4 |a Integral Equations. 
650 2 4 |a Theoretical, Mathematical and Computational Physics. 
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