On the Navier-Stokes equations with variable viscosity in a noncylindrical domain

In this article, we study the existence of weak solutions when n≤ 4 of the mixed problem for the Navier-Stokes equations defined in a noncylindrical domain . We consider that the viscosity depends on the velocity of the fluid and is the image of a bounded cylinder Q of . The uniqueness of solutions...

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Bibliographic Details
Published in:Applicable analysis 2007-03, Vol.86 (3), p.287-313
Main Authors: de Araújo, G. M., Miranda, M. Milla, Medeiros, L. A.
Format: Article
Language:English
Subjects:
2000 Mathematics Subject Classification: 35Q30
Navier-Stokes equation with variable viscosity
Noncylindrical domain
Weak solutions
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Summary:In this article, we study the existence of weak solutions when n≤ 4 of the mixed problem for the Navier-Stokes equations defined in a noncylindrical domain . We consider that the viscosity depends on the velocity of the fluid and is the image of a bounded cylinder Q of . The uniqueness of solutions for n≤ 3 is also analyzed.
ISSN:0003-6811
1563-504X
DOI:10.1080/00036810601135007