On non-Newtonian Fluids with Energy Transfer
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The model combining incompressible Navier–Stokes’ equation in a non-Newtonian p-power-law modification and the nonlinear heat equation is considered. Existence of its (very) weak solutions is proved for p > 11/5 under mild assumptions of the temperature-dependent stress tensor by careful successive limit passage in a Galerkin approximation.
Mathematics Subject Classification (2000).35Q35 76A05 80A20
Keywords.Navier–Stokes equation heat equation enthalpy transformation very weak solution existence Galerkin approximation
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