Geodesic
Steady plane flow of viscoelastic fluid past an obstacle
Applications of Mathematics, Tome 47 (2002) no. 3, pp. 231-254

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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.
DOI : 10.1023/A:1021745420954
Classification : 35B40, 35Q35, 76D99
Keywords: viscoelastic fluid; Oseen problem; steady transport equation; weighted estimates 
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Novotný, Antonín; Pokorný, Milan. Steady plane flow of viscoelastic fluid past an obstacle. Applications of Mathematics, Tome 47 (2002) no. 3, pp. 231-254. doi: 10.1023/A:1021745420954

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