Geodesic
Steady-state buoyancy-driven viscous flow with measure data
Mathematica Bohemica, Tome 126 (2001) no. 2, pp. 493-504

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MR Zbl
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 $\Omega \subset \mathbb{R}^n$, $n=2$ or 3, with heat sources allowed to have a natural $L^1$-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 $n=3$).
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 $\Omega \subset \mathbb{R}^n$, $n=2$ or 3, with heat sources allowed to have a natural $L^1$-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 $n=3$).
DOI : 10.21136/MB.2001.134009
Classification : 35J60, 35Q35, 76A05, 76D03, 80A20
Keywords: non-Newtonean fluids; heat equation; dissipative heat; adiabatic heat 
Roubíček, Tomáš. Steady-state buoyancy-driven viscous flow with measure data. Mathematica Bohemica, Tome 126 (2001) no. 2, pp. 493-504. doi: 10.21136/MB.2001.134009
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