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Comptes Rendus Mathématique
Volume 342, n° 11
pages 831-836 (juin 2006)
Doi : 10.1016/j.crma.2006.04.004
Received : 28 February 2006 ;  accepted : 30 Mars 2006
Existence et unicité pour un fluide inhomogène
Existence and uniqueness for an inhomogenous fluid
 

Hammadi Abidi
Laboratoire Jacques-Louis Lions, université Pierre et Marie Curie, boîte courrier 187, 75252 Paris cedex 05, France 

Résumé

Récemment R. Danchin a montré lʼexistence et lʼunicité de solutions pour un fluide inhomogène dans lʼespace de Besov homogène   sous une condition de petitesse de   dans lʼespace   lorsque   et   si   Dans cette Note, on prouve que la condition   est suffisante pour avoir lʼexistence et lʼunicité. Pour citer cet article : H. Abidi, C. R. Acad. Sci. Paris, Ser. I 342 (2006).

The full text of this article is available in PDF format.
Abstract

Recently R. Danchin showed the existence and uniqueness for an inhomogenous fluid in the homogeneous Besov space  , under the condition that   is small in   if   in   if   In this Note, one shows that the condition   is sufficient to have the existence and uniqueness. To cite this article: H. Abidi, C. R. Acad. Sci. Paris, Ser. I 342 (2006).

The full text of this article is available in PDF format.


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