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Planar flows of incompressible heat-conducting shear-thinning fluids — existence analysis

Miroslav Bulíček;  Oldřich Ulrych — 2011

Applications of Mathematics

We study the flow of an incompressible homogeneous fluid whose material coefficients depend on the temperature and the shear-rate. For large class of models we establish the existence of a suitable weak solution for two-dimensional flows of fluid in a bounded domain. The proof relies on the reconstruction of the globally integrable pressure, available due to considered Navier’s slip boundary conditions, and on the so-called L ∞ -truncation method, used to obtain the strong convergence of the velocity...

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