Article ID Journal Published Year Pages File Type
5774611 Journal of Mathematical Analysis and Applications 2017 30 Pages PDF
Abstract
We study the partial regularity of weak solution to a certain class of non-Newtonian fluids (1.1)-(1.3), the existence of weak solution to such system had been provided by D. Pierre and H. Norbert in [40]. In particular, we prove that the regularity point in QT is an open set with full measure, and we obtain a general criterion for a weak solution to be regular in the neighborhood of a given point. In this paper we confined ourselves to considered the case p=2 and space dimension d=2.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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