Unicité dans L d des solutions du système de Navier-Stokes  : cas des domaines lipschitziens

Sylvie Monniaux[1]

  • [1] LATP - UMR 6632 - Case cour A Université Aix-Marseille 3 Av. Escadrille Normandie-Niemen 13397 Marseille Cédex France

Annales mathématiques Blaise Pascal (2003)

  • Volume: 10, Issue: 1, page 107-116
  • ISSN: 1259-1734

Abstract

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On prouve l’unicité des solutions du système de Navier-Stokes incompressible dans 𝒞 ( [ 0 , T ) ; L d ( Ω ) d ) , où Ω est un domaine lipschitzien borné de ℝ d ( d ≥ 3 ).

How to cite

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Monniaux, Sylvie. "Unicité dans $L^d$ des solutions du système de Navier-Stokes  : cas des domaines lipschitziens." Annales mathématiques Blaise Pascal 10.1 (2003): 107-116. <http://eudml.org/doc/10479>.

@article{Monniaux2003,
abstract = {On prouve l’unicité des solutions du système de Navier-Stokes incompressible dans $\{\mathcal\{C\}\}([0,T) ; L^d(\Omega )^d)$, où $\Omega $ est un domaine lipschitzien borné de $\mathbb\{R\}^d$ ($d\ge 3$).},
affiliation = {LATP - UMR 6632 - Case cour A Université Aix-Marseille 3 Av. Escadrille Normandie-Niemen 13397 Marseille Cédex France},
author = {Monniaux, Sylvie},
journal = {Annales mathématiques Blaise Pascal},
keywords = {Navier-Stokes system; uniqueness; Lipschitz domain; non autonomous Stokes problem},
language = {fre},
month = {1},
number = {1},
pages = {107-116},
publisher = {Annales mathématiques Blaise Pascal},
title = {Unicité dans $L^d$ des solutions du système de Navier-Stokes  : cas des domaines lipschitziens},
url = {http://eudml.org/doc/10479},
volume = {10},
year = {2003},
}

TY - JOUR
AU - Monniaux, Sylvie
TI - Unicité dans $L^d$ des solutions du système de Navier-Stokes  : cas des domaines lipschitziens
JO - Annales mathématiques Blaise Pascal
DA - 2003/1//
PB - Annales mathématiques Blaise Pascal
VL - 10
IS - 1
SP - 107
EP - 116
AB - On prouve l’unicité des solutions du système de Navier-Stokes incompressible dans ${\mathcal{C}}([0,T) ; L^d(\Omega )^d)$, où $\Omega $ est un domaine lipschitzien borné de $\mathbb{R}^d$ ($d\ge 3$).
LA - fre
KW - Navier-Stokes system; uniqueness; Lipschitz domain; non autonomous Stokes problem
UR - http://eudml.org/doc/10479
ER -

References

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  10. S. Monniaux, Uniqueness of mild solutions of the Navier-Stokes equation and maximal L p - regularity, C. R. Acad. Sci. Paris, Série I 328 (1999), 663-668 Zbl0931.35127MR1680809
  11. S. Monniaux, Existence of solutions in critical spaces of the Navier-Stokes system in 3D bounded Lipschitz domains, (2002) Zbl1034.35095
  12. S. Monniaux, On uniqueness for the Navier-Stokes system in 3D-bounded Lipschitz domains, J. Funct. Anal. 195 (2002), 1-11 Zbl1034.35095MR1934350
  13. Z. Shen, Boundary value problems for parabolic Lamé systems and a nonstationary linearized system of Navier-Stokes equations in Lipschitz cylinders, Amer. J. Math. 113 (1991), 293-373 Zbl0734.35080MR1099449
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