Non-isothermal lubrication problem with Tresca fluid-solid interface law. I. (Q867966)
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scientific article; zbMATH DE number 5128081
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| English | Non-isothermal lubrication problem with Tresca fluid-solid interface law. I. |
scientific article; zbMATH DE number 5128081 |
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Non-isothermal lubrication problem with Tresca fluid-solid interface law. I. (English)
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19 February 2007
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The authors 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.
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Tresca law
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non-isothermal fluid
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lubrication
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regularity of weak solutions
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