Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 7, Issue 5, Pages 1145-1166Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2005.10.008
Keywords
free boundary problems; Tresca law; non-isothermal fluid; lubrication; regularity of weak solutions
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We consider the stationary equations for a non-isothermal Newtonian and incompressible fluids, in a three-dimensional bounded domain. The problem is governed by a coupled system involving a balance of linear momentum and the heat energy with Tresca free boundary friction conditions. Existence, uniqueness and regularity of the weak solution to this coupled problem are proved. (c) 2005 Elsevier Ltd. All rights reserved.
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