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Characterization of generalized solutions for the homogeneous Stokes equations in exterior domains

✍ Scribed by Hi Jun Choe; Bum Ja Jin

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 125 KB
Volume: 48
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(00)00213-3

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## Abstract We introduce a new concept for weak solutions in __L__^__q__^‐spaces, 1 < __q__ < ∞, of the Stokes system in an exterior domain Ω ⊂ ℝ^n^, __n__ ⩾ 2. Defining the variational formulation in the homogeneous Sobolev space \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop H\