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Fourier Analysis and Nonlinear Partial Differential Equations
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Catalogue Information
Field name
Details
Dewey Class
515.353
Title
Fourier Analysis and Nonlinear Partial Differential Equations (EB) / by Hajer Bahouri, Jean-Yves Chemin, Raphaël Danchin
Author
Bahouri, Hajer
Added Personal Name
Chemin, Jean-Yves
Danchin, Raphaël
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : Springer , 2011.
Physical Details
XVI, 524 pages : online resource.
Series
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
0072-7830 ; ; 343
ISBN
9783642168307
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-3-642-16830-7
Links to Related Works
Subject References:
Analysis
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Differential equations, Partial
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Fourier Analysis
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Global analysis (Mathematics)
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Mathematics
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Partial differential equations
.
Authors:
author
.
Bahouri, Hajer
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Chemin, Jean-Yves
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Danchin, Raphaël
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Corporate Authors:
SpringerLink (Online service)
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Series:
Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
.
Classification:
515.353
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515.353 (DDC 23)
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