| Description |
1 online resource (xv, 523 pages) |
| Series |
Grundlehren der mathematischen Wissenschaften ; 343 |
|
Grundlehren der mathematischen Wissenschaften ; 343.
|
| Contents |
1. Basic analysis -- 2. Littlewood-Paley theory -- 3. Transport and transport-diffusion equations -- 4. Quasilinear symmetric systems -- 5. The incompressible Navier-Stokes system -- 6. Anisotropic viscosity -- 7. Euler system for perfect incompressible fluids -- 8. Strichartz estimates and applications to semilinnear dispersive equations -- 9. Smoothing effect in quasilinear wave equations -- 10. The compressible Navier-Stokes system |
| Summary |
In recent years, the Fourier analysis methods have experienced 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 Schrodinger equations. It also offers more sophisticated models originating from fluid mechanics (in particular the incompre |
| Bibliography |
Includes bibliographical references (pages 497-515) and index |
| Notes |
English |
|
Print version record |
| In |
Springer eBooks |
| Subject |
Fourier analysis.
|
|
Differential equations, Partial.
|
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Fourier Analysis
|
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MATHEMATICS -- Differential Equations -- Partial.
|
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Análisis de Fourier
|
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Ecuaciones en derivadas parciales
|
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Differential equations, Partial
|
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Fourier analysis
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Nichtlineare partielle Differentialgleichung
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Harmonische Analyse
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Littlewood-Paley-Theorem
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| Form |
Electronic book
|
| Author |
Chemin, Jean-Yves.
|
|
Danchin, Raphaël.
|
| ISBN |
9783642168307 |
|
3642168302 |
|
