Steady Plane Flow of Viscoelastic Fluid Past an Obstacle |
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| Authors: | Antonin Novotny Milan Pokorny |
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| Affiliation: | (1) Laboratoire A.N.L.A., Universite de Toulon et du Var, B.P. 132, 83 957 La Garde, France;(2) Mathematical Institute of Charles University, Sokolovska 83, 186 75 Praha 8, Czech Republic |
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| Abstract: | We consider the steady plane flow of certain classes of viscoelastic fluids in exterior domains with a non-zero velocity prescribed at infinity. We study existence as well as asymptotic behaviour of solutions near infinity and show that for sufficiently small data the solution decays near infinity as fast as the fundamental solution to the Oseen problem. |
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| Keywords: | viscoelastic fluid Oseen problem steady transport equation weighted estimates |
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