Existence of weak solutions to a class of non-Newtonian flows

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We show that there exist weak solutions to a class of non-Newtonian flows for the periodic domain. Galerkin approximation, an W-1,W-r+2 compactness theorem, and Kern type inequalities are main ingredients for the proof of the existence of weak solutions. Moreover, we estimate the Hausdorff dimension of the set of singular times for the weak solutions.
Publisher
UNIV HOUSTON
Issue Date
2000
Language
English
Article Type
Article
Citation

HOUSTON JOURNAL OF MATHEMATICS, v.26, no.2, pp.387 - 408

ISSN
0362-1588
URI
http://hdl.handle.net/10203/71532
Appears in Collection
RIMS Journal Papers
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