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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
Added Personal Name	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 . Differential equations, Partial . Fourier Analysis . Global analysis (Mathematics) . Mathematics . Partial differential equations . Authors: author . Bahouri, Hajer . Chemin, Jean-Yves . Danchin, Raphaël . Corporate Authors: SpringerLink (Online service) . Series: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics . Classification: 515.353 . 515.353 (DDC 23) .

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Fourier Analysis and Nonlinear Partial Differential Equations

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