An Existence Theorem for Model Equations Resulting from Kinetic Theories of Polymer Solutions
Author:
- Michael RenardyMRMichael Renardy
- 1 March 1991
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 22 (2) , 313-327
Abstract
A local existence and uniqueness theorem is proved for a set of partial differential equations modelling the flow of polymer solutions. The constitutive relations considered here are motivated by kinetic theory. The stress tensor is given by an integral which involves the solution of a linear diffusion equation. The coefficients of this diffusion equation depend on the velocity gradient.Keywords
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