Fourier Analysis and Nonlinear Partial Differential Equations [recurso electrónico] / by Hajer Bahouri, Jean-Yves Chemin, Raphaël Danchin.
Tipo de material: TextoSeries Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 343Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Descripción: XVI, 524 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642168307Tema(s): Mathematics | Global analysis (Mathematics) | Differential equations, partial | Mathematics | Analysis | Partial Differential EquationsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 515 Clasificación LoC:QA299.6-433Recursos en línea: Libro electrónicoTipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
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Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | QA299.6 -433 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 375411-2001 |
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QA299.6 -433 Value Distribution of Meromorphic Functions | QA299.6 -433 Mathematical Analysis of Problems in the Natural Sciences | QA299.6 -433 Sobolev Spaces | QA299.6 -433 Fourier Analysis and Nonlinear Partial Differential Equations | QA299.6 -433 Lebesgue and Sobolev Spaces with Variable Exponents | QA299.6 -433 Eigenvalues, Embeddings and Generalised Trigonometric Functions | QA299.6 -433 Classical Summation in Commutative and Noncommutative L<sub>p</sub>-Spaces |
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.
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.
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