Existence for a Class of Non-Newtonian Fluids with a Nonlocal Friction Boundary Condition-中国期刊网

摘要 Wedealwithavariationalinequalitydescribingthemotionofincompressiblefluids,whoseviscousstresstensorsbelongtothesubdifferentialofafunctionalatthepointgivenbythesymmetricpartofthevelocitygradient,withanonlocalfrictionconditiononapartoftheboundaryobtainedbyageneralizedmollificationofthestresses.Weestablishanexistenceresultofasolutiontothenonlocalfrictionproblemforthisclassofnon-Newtonianflows.TheresultisbasedontheFaedo-GalerkinandMoreau-Yosidamethods,thedualitytheoryofconvexanalysisandtheTychonov-Kakutani-Clicksbergfixedpointtheoremformulti-valuedmappingsinanappropriatefunctionalspaceframework.

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Existence for a Class of Non-Newtonian Fluids with a Nonlocal Friction Boundary Condition

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Existence for a Class of Non-Newtonian Fluids with a Nonlocal Friction Boundary Condition

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