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On non-Newtonian Fluids with Energy Transfer |
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| Authors: | T. Roubíček |
| Affiliation: | (1) Mathematical Institute, Charles University, Sokolovská 83, CZ-186 75 Praha 8, Czech Republic;(2) Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic, Pod vodárenskou věží 4, CZ-182 08 Praha 8, Czech Republic |
| Abstract: | 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. |
| Keywords: | KeywordHeading" >Mathematics Subject Classification (2000). 35Q35 76A05 80A20 |
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