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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Bahouri, Hajer (Author), Chemin, Jean-Yves (Author), Danchin, Raphaël (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edition:1st ed. 2011.
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 343
Subjects:
Mathematical analysis.
Differential equations.
Analysis.
Differential Equations.
Online Access:Texto Completo
Table of Contents:
  • 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.

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