Steady-state bouyancy-driven viscous flow with measure data

0410658 20240903202640.720060210235959.9 Steady-state bouyancy-driven viscous flow with measure data 12 s. cav_un_epca*02906490862-7959Mathematica Bohemica1262 (2001)493-504Matematický ústav AV ČR, v. v. i. non-Newtonean fluids heat equation dissipative heat cav_un_auth*0101187 Roubíček Tomáš UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 12A IAA1075005 GA AV ČR cav_un_auth*0012782 GA201/00/0768 GA ČR cav_un_auth*0005685 AV0Z1075907 Steady-state system of equations for incompressible, possibly non-Newtonean of the p-power type, viscous flow coupled with the heat equation is considered in a smooth bounded domain in dimension n=2 or 3, with heat sources allowed to have a natural L1-structure and even to be measures. The existence of a distributional solution is shown by a fixed-point technique for sufficiently small data if p>3/2 (for n=2) or if p>9/5 (for n=3). BA MTR http://hdl.handle.net/11104/0130746 UTIA-B 20010127 2001 cav_un_epca*0290649 Mathematica Bohemica 0862-7959 2464-7136 Roč. 126 č. 2 2001 493 504 Matematický ústav AV ČR, v. v. i.