On the existence of weak solutions to the equations of steady flow of heat-conducting fluids with dissipative heating
| Type of publication: | Article |
| Citation: | |
| Publication status: | Published |
| Journal: | Nonlinear Analysis: Real World Applications |
| Volume: | 13 |
| Number: | 4 |
| Year: | 2012 |
| Pages: | 1600--1620 |
| Note: | Preprint NCMM no. 2010-033 |
| URL: | http://www.karlin.mff.cuni.cz/... |
| DOI: | 10.1016/j.nonrwa.2011.11.018 |
| Abstract: | We study a system of partial differential equations describing the steady flow of a heat conducting incompressible fluid in a bounded three dimensional domain, where the right-hand side of the momentum equation includes the buoyancy force. In the present work we prove the existence of a weak solution under both the smallness and a sign condition on physical parameters α0 and α1 which appear on the right hand side. |
| Keywords: | Buoyancy force, Heat conducting Newtonian fluid, Reverse Hölder inequality, Steady problem, weak solution |
| Authors | |
| Added by: | [MB] |
| Total mark: | 0 |
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