Mathematical analysis of a simplified Hookean dumbbells model arising from viscoelastic flows
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abstract
A stochastic model corresponding to a simplified Hookean dumbbells viscoelastic fluid is considered, the convective terms being disregarded. Existence on a fixed time interval is proved provided the data are small enough, using the implicit function theorem and a maximum regularity property for a three fields Stokes problem. Birkhuser Verlag, Basel, 2006.