✦ LIBER ✦

A global nonlinear evolution problem for generalized Newtonian fluids: Local initial regularity of the strong solution

✍ Scribed by M. Fuchs; G. Seregin

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 272 KB
Volume: 53
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2006.02.039

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✦ Synopsis

We consider the strong solution of an initial boundary value problem for a system of evolution equations describing the flow of a generalized Newtonian fluid of power law type. For a rather large scale of growth rates we prove local initial regularity results such as higher integrability of the pressure function or the existence of the second spatial derivatives of the velocity field.

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