On the existence of weak solutions to the equations of steady flow of heat-conducting fluids with dissipative heating期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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On the existence of weak solutions to the equations of steady flow of heat-conducting fluids with dissipative heating

Authors:	Joachim Naumann Jörg Wolf

Institution:	^a Department of Mathematics, Humboldt University Berlin, Unter den Linden6, 10099 Berlin, Germany ^b Mathematical Institute of Charles University, Sokolovská 83, 18675 Praha 8, Czech Republic ^c Faculty of Mathematics, University of Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany

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:	Heat conducting Newtonian fluid Buoyancy force Steady problem Weak solution Reverse Hö lder inequality
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