Petr Kaplick\'y, Josef M\'alek, Jana Star\'a
Full regularity of weak solutions to a class of nonlinear fluids in two dimensions -- stationary, periodic problem

Abstract:We prove the existence of regular solution to a system of nonlinear equations describing the steady motions of a certain class of non-Newtonian fluids in two dimensions. The equations are completed by requirement that all functions are periodic.

Keywords: non-Newtonian fluids, shear dependent viscosity, regularity, H\"older continuity of gradients
AMS Subject Classification: 76F10, 35Q35, 35J65

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