M. Bildhauer, M. Fuchs, X. Zhong, “On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids”, Algebra i Analiz, 2006, Volume 18, Issue 2,Pages <nobr>1

This article is cited in 12 papers

Research Papers

On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids

M. Bildhauer^a, M. Fuchs^a, X. Zhong^b

^a Department of Mathematics, Saarland University, Saarbrücken, Germany
^b Department of Mathematics and Statistics, University of Jyväskylä, Finland

Abstract: A system of nonautonomous partial differential equations describing the steady flow of an incompressible fluid is considered. The existence of a strong solution of that system is proved under suitable assumptions on the data. In the 2D-case this solution turns out to be of class $C^{1,\alpha}$.

Keywords: generalized Newtonian fluids, anisotropic dissipative potentials, existence and regularity of solutions.

MSC: 76M30, 76B03, 35Q35

Received: 31.10.2005

Language: English