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Keywords:
viscoelastic fluid; Oseen problem; steady transport equation; weighted estimates
viscoelastic fluid; Oseen problem; steady transport equation; weighted estimates
Summary:
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.
References:
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