Table of Contents

Pierre Gilles Lemarié-Rieusset

vignette.jpg Laboratoire de Mathématiques et Modélisation d'Évry (UMR 8071)
I.B.G.B.I., 23 Bd. de France, 91037 Évry Cedex
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LIVRES/ BOOKS / LEVRIOÙ

The Navier-Stokes problem in the 21st century

The Navier-Stokes problem in the 21st century Table of contents

The complete resolution of the Navier–Stokes equation—one of the Clay Millennium Prize Problems—remains an important open challenge in partial differential equations (PDEs) research despite substantial studies on turbulence and three-dimensional fluids. The Navier–Stokes Problem in the 21st Century provides a self-contained guide to the role of harmonic analysis in the PDEs of fluid mechanics. The book focuses on incompressible deterministic Navier–Stokes equations in the case of a fluid filling the whole space. It explores the meaning of the equations, open problems, and recent progress. It includes classical results on local existence and studies criterion for regularity or uniqueness of solutions. The book also incorporates historical references to the (pre)history of the equations as well as recent references that highlight active mathematical research in the field.

* Hardcover: 740 pages
* Publisher: Chapman and Hall/CRC; 1 edition (March 8, 2016)
* Language: English
* ISBN-10: 1466566213
* ISBN-13: 978-1466566217

Livres / Books / Levrioù

The Navier-Stokes problem in the 21st century Recent developments in the Navier-Stokes problem Séries de Fourier et ondelettes   Fourier Series and Wavelets Lecture Notes in Mathematics 1438

Mémoires / Dissertations / Tezennoù

Bref curriculum vitae / Short résumé / Danevell vuhez

Bref curriculum vitae

Toutes les publications / All the papers / An holl pennadoù

ORCiD

orcid.org/0000-0002-9326-2442 orcid.org/0000-0002-9326-2442

Thèmes de recherche / Research/ Enklask

Equations de Navier-Stokes / Navier-Stokes equations / Kevatalennoù Navier-Stokes

Autres équations aux dérivées partielles / Other partial differential equations / Kevatalennoù all

Intégrales singulières et analyse fonctionnelle / Singular integrals and function analysis / Integralennoù singuler hag analiz fonksionel

Théorie des ondelettes / Wavelet theory / Teorienn ar gwagennigoù

Enseignements / Teaching / Kelenn

(polycopiés disponibles sur ecampus)

2022-2023 :

Liens / Links / Liammoù

Page d'information sur l'école doctorale EDMH et le Lamme.

Le portail documentaire du CNRS pour les mathématiques.