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Weak solutions for the exterior Stokes problem in weighted Sobolev spaces

✍ Scribed by F. Alliot; C. Amrouche

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 225 KB
Volume: 23
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(200004)23:6<575::aid-mma128>3.0.co;2-4

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✦ Synopsis

We extend here some existence and uniqueness results for the exterior Stokes problem in weighted Sobolev spaces. We also study the regularity of the solutions (u, ) and prove optimal a priori estimates for the solutions with u, 3¸N. The in#uence of some compatibility conditions on the behaviour at in"nity of the solution is "nally studied and leads to new asymptotic expansions.

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