Mathematical Analysis of a Simplified Hookean Dumbbells Model Arising from Viscoelastic Flows
نویسندگان
چکیده
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.
منابع مشابه
Finite Element Analysis of a Simplified Stochastic Hookean Dumbbells Model Arising from Viscoelastic Flows
A simplified stochastic Hookean dumbbells model arising from viscoelastic flows is considered, the convective terms being disregarded. A finite element discretization in space is proposed. Existence of the numerical solution is proved for small data, so as a priori error estimates, using an implicit function theorem and regularity results obtained in [Bonito et al., J. Evol. Equ. 6 (2006) 381–3...
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