Publication at Faculty of Mathematics and Physics |
2012
Abstract
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 Koch (Quad Mat 15:59-122, 2004) and properties of solutions to steady transport equation to get up to arbitrarily small epsilon the same decay as the Oseen fundamental solution.