Local Existence for the Dumbbell Model of Polymeric Fluids
Authors:
- 1 May 2004
- journal article
- Published by Taylor & Francis in Communications in Partial Differential Equations
- Vol. 29 (5-6) , 903-923
Abstract
A local existence and uniqueness theorem is proved for a micro-macro model for polymeric fluid, as well as the property of the solution. The polymer stress tensor is given by an integral which involves the solution of a diffusion equation, the coefficient of this diffusion equation depends on the gradient of the solution of the Navier–Stokes equation.Keywords
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