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On non-Newtonian fluids with energy transfer
- 1.0097222 - ÚTIA 2008 RIV CH eng J - Journal Article
Roubíček, Tomáš
On non-Newtonian fluids with energy transfer.
[O tekutinach nikoli Newtona s prenosem energie.]
Journal of Mathematical Fluid Mechanics. Roč. 9, č. 1 (2007), s. 1-16. ISSN 1422-6928. E-ISSN 1422-6952
Grant - others:GA ČR(CZ) GA201/06/0352; GA MŠk(CZ) LC06052
Program: LC
Institutional research plan: CEZ:AV0Z10750506
Keywords : Navier-Stokes equation * heat equation * enthalpy transformation * very weak solution * existence * Galerkin approximation
Subject RIV: BC - Control Systems Theory
Impact factor: 0.681, year: 2007
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.
Práce pojednává o tekutinách nikoli Newtona s přenosem energie.
Permanent Link: http://hdl.handle.net/11104/0156410
Number of the records: 1