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- W2017409274 abstract "We set up and investigate a coupled problem on stationarynon-isothermal flow of electrorheological fluids. The problemsconsist in finding functions of velocity, pressure and temperaturewhich satisfy the motion equations, the condition ofincompressibility, the equation of the balance of thermal energy andboundary conditions. We consider original and regularized coupledproblems. In the regularized problem the dissipation of energy isdefined by the regularized velocity field which leads to a nonlocalmodel. We introduce the notions of generalized solutions for theoriginal and regularized problems. The existence of the generalizedsolution of the regularized problem is proved by using the methodsof monotonicity, compactness, and topological degree. We prove thatthere exists a solution of the original problem where the domain offlow is two-or three-dimensional (in the case of a three-dimensionaldomain an extra condition is being assumed). It is shown that thesolution of the original problem is a limiting point of the set ofsolutions of the regularized problems in which the parameter ofregularization tends to zero." @default.
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- W2017409274 date "2005-01-01" @default.
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- W2017409274 title "Coupled problems on stationary non-isothermal flow of electrorheological fluids" @default.
- W2017409274 doi "https://doi.org/10.3934/cpaa.2005.4.779" @default.
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