Library Services | Technical University of Kenya

Your cart is empty.
Normal view MARC view ISBD view

Fourier Analysis and Nonlinear Partial Differential Equations [electronic resource] / by Hajer Bahouri, Jean-Yves Chemin, Raphaël Danchin.

By: Bahouri, Hajer [author.].
Contributor(s): Chemin, Jean-Yves [author.] | Danchin, Raphaël [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics: 343Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: XVI, 524 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783642168307.Subject(s): Mathematics | Global analysis (Mathematics) | Differential equations, partial | Mathematics | Analysis | Partial Differential EquationsDDC classification: 515 Online resources: Click here to access online
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.
In: Springer eBooksSummary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
No physical items for this record

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.

There are no comments for this item.

Log in to your account to post a comment.

2017 | The Technical University of Kenya Library | +254(020) 2219929, 3341639, 3343672 | library@tukenya.ac.ke | Haile Selassie Avenue