Fourier Analysis and Nonlinear Partial Differential Equations - Couverture souple

Bahouri, Hajer; Chemin, Jean-Yves; Danchin, Raphaël

Couverture souple

ISBN 10 : 3642266576 ISBN 13 : 9783642266577

Editeur : Springer, 2013

Synopsis

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.

A propos du livre

Présentation de l'éditeur

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 Schrodinger 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.

Présentation de l'éditeur

Recent years have seen a growth in interest in using partial differential equations in methods of Fourier analysis. This monograph sets out state-of-the-art models of these techniques as applied to transport, heat, wave, and Schrödinger equations.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 3642266576
• ISBN 13: 9783642266577
• Reliure: Broché
• Nombre de pages: 540
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne