Large Data Existence Result for Unsteady Flows of Inhomogeneous Shear-Thickening Heat-Conducting Incompressible Fluids

0438594 - ÚT 2015 RIV US eng J - Journal Article
Frehse, J. - Málek, Josef - Růžička, M.
Large Data Existence Result for Unsteady Flows of Inhomogeneous Shear-Thickening Heat-Conducting Incompressible Fluids.
Communications in Partial Differential Equations. Roč. 35, č. 10 (2010), s. 1891-1919. ISSN 0360-5302. E-ISSN 1532-4133
Institutional research plan: CEZ:AV0Z20760514
Keywords : generalized Navier–Stokes–Fourier system * heat-conducting fluid * incompressible fluid
Subject RIV: BJ - Thermodynamics
Impact factor: 1.123, year: 2010

We consider unsteady flows of inhomogeneous, incompressible, shear-thickening and heat-conducting fluids where the viscosity depends on the density, the temperature and the shear rate, and the heat conductivity depends on the temperature and the density. For any values of initial total mass and initial total energy we establish the long-time existence of weak solution to internal flows inside an arbitrary bounded domain with Lipschitz boundary.
Permanent Link: http://hdl.handle.net/11104/0242017