Fourier analysis and nonlinear partial differential equations

By: Bahouri, Hajer
Contributor(s): Chemin, Jean-Yves [Author] | Danchin, Raphaël [Author]
Material type: TextTextLanguage: English Series: Grundlehren der mathematischen Wissenschaften 343Publisher: Berlin [u.a.] Springer 2011Description: XV, 523 SISBN: 3642168299 (Gb.); 9783642168291 (Gb.); 9783642168307Subject(s): Nichtlineare partielle Differentialgleichung | Harmonische Analyse | Littlewood-Paley-Theorem | Fourier analysis | Differential equations, Partial | Differential equations, Nonlinear | Differential equations, Partial | Fourier analysis | LehrmittelDDC classification: 515.353 | 510 | 510 LOC classification: QA403Other classification: 31.45 | 31.35 | 31.76 | 33.06 | SK 450 | SK 540 | 17,1 | mat Online resources: Inhaltsverzeichnis Inhaltsverzeichnis | Inhaltstext | Inhaltsverzeichnis | Zentralblatt MATH Inhaltstext
Contents:
Basic analysisLittlewood-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.--
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Literaturverz. S. 497 - 515

Basic analysisLittlewood-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.--

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