On the 3D steady flow of a second grade fluid past an obstacle

Details On the 3D steady flow of a second grade fluid past an obstacle On the 3D steady flow of a second grade fluid past an obstacle

2010-10-29

arxiv.org/abs/1011.0026v1

Physics

Mathematical Physics

Scientific paper

We study steady flow of a second grade fluid past an obstacle in three space dimensions. We prove existence of solution in weighted Lebesgue spaces with anisotropic weights and thus existence of the wake region behind the obstacle. We use properties of the fundamental Oseen tensor together with results achieved in \cite{Koch} and properties of solutions to steady transport equation to get up to arbitrarily small $\ep$ the same decay as the Oseen fundamental solution.

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