Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 40, 2015, 889-905

LIOUVILLE THEOREMS FOR STATIONARY FLOWS OF SHEAR THICKENING FLUIDS IN 2D

Guo Zhang

Central China Normal University, School of Mathematics and Statistics
Wuhan, P.R. China; guozhang625 'at' hotmail.com

Abstract. In this paper we consider entire weak solutions u of the equations for stationary flows of shear thickening fluids in the plane and prove Liouville theorems in case of finite energy or under suitable integrability assumptions on u.

2010 Mathematics Subject Classification: Primary 76D05, 76D07, 76M30, 35Q30.

Key words: Stationary flows, shear thickening fluids, entire weak solutions, Liouville theorems.

Reference to this article: G. Zhang: Liouville theorems for stationary flows of shear thickening fluids in 2D. Ann. Acad. Sci. Fenn. Math. 40 (2015), 889-905.

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doi:10.5186/aasfm.2015.4052