Fourier analysis and nonlinear partial differential equations
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 a...
Gardado en:
| Auteurs principaux: | , , |
|---|---|
| Formato: | Livre papier |
| Idioma: | Anglais |
| Publicado: |
Heidelberg ; Dordrecht ; London [etc.] :
Springer
C 2011.
|
| Series: | Grundlehren der mathematischen Wissenschaften
343 |
| Sujets: | |
| Nota: |
Retirage de l'édition reliée en édition brochée : 1ère édition 2011 |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Fourier analysis and nonlinear partial differential equations, by Hajer Bahouri, Jean-Yves Chemin, Raphaël Danchin, 1st ed. 2011., 20XX, Berlin, Heidelberg, Springer Berlin Heidelberg, Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 978-3-642-16830-7 |
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| 020 | |a 3642168299 (rel.) | ||
| 020 | |a 9783642266577 (br.) | ||
| 024 | |a 9783642168291 | ||
| 024 | |a 9783642266577 | ||
| 041 | 0 | |a eng | |
| 084 | |a 35Q35. 2010 | ||
| 084 | |a 76N10. 2010 | ||
| 084 | |a 76D05. 2010 | ||
| 084 | |a 35Q31. 2010 | ||
| 084 | |a 35Q30. 2010 | ||
| 100 | 1 | |a Bahouri, Hajer, |d 1958-...., |c mathématicienne. | |
| 245 | 1 | 0 | |a Fourier analysis and nonlinear partial differential equations |c Hajer Bahouri, Jean-Yves Chemin, Raphaël Danchin. |
| 260 | |a Heidelberg ; |a Dordrecht ; |a London [etc.] : |b Springer. | ||
| 260 | |c C 2011. | ||
| 300 | |a 1 vol. (XV-523 p.) ; |c 24 cm. | ||
| 490 | 1 | |a Grundlehren der mathematischen Wissenschaften |x 0072-7830 |v 343 | |
| 500 | |a Retirage de l'édition reliée en édition brochée : 1ère édition 2011 | ||
| 504 | |a Bibliogr. p. 497-515. Liste des notations. Index | ||
| 505 | 0 | |a - 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 | |
| 520 | |a 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. [source : 4e de couv.] | ||
| 650 | |a Fourier, Analyse de | ||
| 650 | |a Équations aux dérivées partielles | ||
| 700 | 1 | |a Chemin, Jean-Yves, |d 1959-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Danchin, Raphaël, |d 1971- |4 aut | |
| 776 | 0 | |0 149908245 |t Fourier analysis and nonlinear partial differential equations |f by Hajer Bahouri, Jean-Yves Chemin, Raphaël Danchin |e 1st ed. 2011. |d 20XX |c Berlin, Heidelberg |n Springer Berlin Heidelberg |s Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |z 978-3-642-16830-7 | |
| 997 | |0 383752 |1 Livre papier |a Ressource papier |c 0/Orléans/ |c 1/Orléans/IDP/ |z Orléans, IDP, 7552 BAH | ||