Fourier analysis and nonlinear partial differential equations / Hajer Bahouri, Jean-Yves Chemin, Raphael Danchin.

By: Bahouri, Hajer
Contributor(s): Chemin, Jean-Yves | Danchin, Raphael
Material type: TextTextSeries: Grundlehren der mathematischen Wissenschaften: 343.Publisher: Heidelberg [Germany] ; New York : Springer, c2011Description: xv, 523 p. ; 24 cmISBN: 9783642168291 (acidfree paper); 3642168299 (acidfree paper)Subject(s): Fourier analysis | Differential equations, Partial | Differential equations, Partial | Fourier analysis | Nichtlineare partielle Differentialgleichung | Harmonische Analyse | Littlewood-Paley-TheoremLOC classification: QA403 | .B25 2011Online resources: table of contents | conten description
Contents:
Basic analysis -- Littlewood-Paley theory -- Transport and transport-diffusion equations -- Quasilinear symmetric systems -- The incompressibile Navier-Stokes system -- Anisotropic viscosity -- Euler system for perfect incompressible fluids -- Strichartz estimates and applications to semilinear dispersive equations -- Smoothing effect in quasilinear wave equations -- The compressible Navier-Stokes system.
Summary: 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 Schrodinger equations.-- Source other than Library of Congress.
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Includes bibliographical references (p. 497-515) and index.

Basic analysis -- Littlewood-Paley theory -- Transport and transport-diffusion equations -- Quasilinear symmetric systems -- The incompressibile Navier-Stokes system -- Anisotropic viscosity -- Euler system for perfect incompressible fluids -- Strichartz estimates and applications to semilinear dispersive equations -- Smoothing effect in quasilinear wave equations -- The compressible Navier-Stokes system.

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 Schrodinger equations.-- Source other than Library of Congress.

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