On non-Newtonian fluids with convective effects
We study a system of partial differential equations describing a steady thermoconvective flow of a non-Newtonian fluid. We assume that the stress tensor and the heat flux depend on temperature and satisfy the conditions of p,q-coercivity with $p>\frac{2n}{n+2}$, $q>\frac{np}{p(n+1)-n}$, re...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/155/abstr.html |
| Summary: | We study a system of partial differential equations describing a
steady thermoconvective flow of a non-Newtonian fluid.
We assume that the stress tensor and the heat flux depend on temperature
and satisfy the conditions of p,q-coercivity with $p>\frac{2n}{n+2}$,
$q>\frac{np}{p(n+1)-n}$, respectively.
Considering Dirichlet boundary conditions for the velocity and a mixed
and nonlinear boundary condition for the temperature, we prove the
existence of weak solutions. We also analyze the existence and uniqueness
of strong solutions for small and suitably regular data. |
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| ISSN: | 1072-6691 |