Uniqueness in L3(R3) and in other limit functional spaces for solutions of the Navier-Stokes equations.

Giulia Furioli; Pierre Gilles Lemarié-Rieusset; Elide Terraneo

Revista Matemática Iberoamericana (2000)

  • Volume: 16, Issue: 3, page 605-667
  • ISSN: 0213-2230

Abstract

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The main result of this paper is the proof of uniqueness for mild solutions of the Navier-Stokes equations in L3(R3). This result is extended as well to some Morrey-Campanato spaces.

How to cite

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Furioli, Giulia, Lemarié-Rieusset, Pierre Gilles, and Terraneo, Elide. "Unicité dans L3(R3) et d'autres espaces fonctionnels limites pour Navier-Stokes.." Revista Matemática Iberoamericana 16.3 (2000): 605-667. <http://eudml.org/doc/39620>.

@article{Furioli2000,
author = {Furioli, Giulia, Lemarié-Rieusset, Pierre Gilles, Terraneo, Elide},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuaciones de Navier-Stokes; Ecuaciones en derivadas parciales no lineales; Ondículas; Espacios de Banach; uniqueness; Navier- Stokes equations; weak solution},
language = {fre},
number = {3},
pages = {605-667},
title = {Unicité dans L3(R3) et d'autres espaces fonctionnels limites pour Navier-Stokes.},
url = {http://eudml.org/doc/39620},
volume = {16},
year = {2000},
}

TY - JOUR
AU - Furioli, Giulia
AU - Lemarié-Rieusset, Pierre Gilles
AU - Terraneo, Elide
TI - Unicité dans L3(R3) et d'autres espaces fonctionnels limites pour Navier-Stokes.
JO - Revista Matemática Iberoamericana
PY - 2000
VL - 16
IS - 3
SP - 605
EP - 667
LA - fre
KW - Ecuaciones de Navier-Stokes; Ecuaciones en derivadas parciales no lineales; Ondículas; Espacios de Banach; uniqueness; Navier- Stokes equations; weak solution
UR - http://eudml.org/doc/39620
ER -

Citations in EuDML Documents

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  1. Sylvie Monniaux, Unicité dans L d des solutions du système de Navier-Stokes  : cas des domaines lipschitziens
  2. Francis Ribaud, A remark on the uniqueness problem for the weak solutions of Navier-Stokes equations
  3. Isabelle Gallagher, Dragoş Iftimie, Fabrice Planchon, Stabilité et asymptotique en temps grand de solutions globales des équations de Navier-Stokes
  4. Nader Masmoudi, Uniqueness results for some PDEs
  5. Fabrice Planchon, Du local au global : interpolation entre données peu régulières et quantités conservées
  6. Isabelle Gallagher, Dragos Iftimie, Fabrice Planchon, Asymptotics and stability for global solutions to the Navier-Stokes equations

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