Open Access
June 2004 Analysis of 1 + 1 Dimensional Stochastic Models of Liquid Crystal Polymer Flows
Tiejun Li, Pingwen Zhang, Xiang Zhou
Commun. Math. Sci. 2(2): 295-316 (June 2004).


We consider the stochastic model of concentrated Liquid Crystal Polymers(LCPs) in the plane Couette flow. The dynamic equation for the liquid crystal polymers is described by a nonlinear stochastic differential equation with Maier-Saupe interaction potential. The stress tensor is obtained from an ensemble average of microscopic polymer configurations. We present the local existence and uniqueness theorem for the solution of the coupled fluid-polymer system. We also analyze the error of a fully .nite di.erence-Monte Carlo hybrid numerical scheme by investigating the asymptotic behavior of weakly interacting processes. The rate of convergence of the full discretized scheme is derived.


Download Citation

Tiejun Li. Pingwen Zhang. Xiang Zhou. "Analysis of 1 + 1 Dimensional Stochastic Models of Liquid Crystal Polymer Flows." Commun. Math. Sci. 2 (2) 295 - 316, June 2004.


Published: June 2004
First available in Project Euclid: 1 March 2005

zbMATH: 1153.76320
MathSciNet: MR2119942

Rights: Copyright © 2004 International Press of Boston

Vol.2 • No. 2 • June 2004
Back to Top