Stationary Non-Newtonian Fluid Flows¶in Channel-like and Pipe-like Domains |
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Authors: | Marco A Fontelos Avner Friedman |
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Institution: | Institute for Mathematics and its Applications? University of Minnesota?Minneapolis?Minnesota 55455 & University of Minnesota?Department of Mathematics?Minneapolis?Minnesota 55410, US
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Abstract: | This paper is concerned with stationary non-Newtonian fluid in an unbounded domain which geometrically is channel-like in two dimensions or axisymmetric pipe-like in three. The flow satisfies no-slip boundary conditions, and behaves as Poiseuille flow at infinity. Existence and uniqueness are proved under the assumption of a large kinematic viscosity. The results apply to a family of models including second-order, Maxwell and Oldroyd-B fluids. For second-order fluids, the existence and uniqueness results are extended to the case when the boundary has corner points. |
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