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Fourier Analysis and Nonlinear Partial Differential Equations

In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Bahouri, Hajer (Autor), Chemin, Jean-Yves (Autor), Danchin, Raphaël (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 343
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Fourier Analysis and Nonlinear Partial Differential Equations  |h [electronic resource] /  |c by Hajer Bahouri, Jean-Yves Chemin, Raphaël Danchin. 
250 |a 1st ed. 2011. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2011. 
300 |a XVI, 524 p.  |b online resource. 
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490 1 |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,  |x 2196-9701 ;  |v 343 
505 0 |a Preface -- 1. Basic analysis -- 2. Littlewood-Paley theory -- 3. Transport and transport-diffusion equations -- 4. Quasilinear symmetric systems -- 5. Incompressible Navier-Stokes system -- 6. Anisotropic viscosity -- 7. Euler system for perfect incompressible fluids -- 8. Strichartz estimates and applications to semilinear dispersive equations -- 9. Smoothing effect in quasilinear wave equations -- 10 -- The compressible Navier-Stokes system -- References. - List of notations -- Index. 
520 |a In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and Schrödinger equations.  It also offers more sophisticated models originating from fluid mechanics (in particular the incompressible and compressible Navier-Stokes equations) or general relativity. It is either directed to anyone with a good undergraduate level of knowledge in analysis or useful for experts who are eager to know the benefit that one might gain from Fourier analysis when dealing with nonlinear partial differential equations. 
650 0 |a Mathematical analysis. 
650 0 |a Differential equations. 
650 1 4 |a Analysis. 
650 2 4 |a Differential Equations. 
700 1 |a Chemin, Jean-Yves.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Danchin, Raphaël.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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