Finite-dimensional global attractor for a system modeling the 2D nematic liquid crystal flow

被引：0

作者：

M. Grasselli

H. Wu

机构：

[1] Politecnico di Milano,Dipartimento di Matematica F. Brioschi

[2] Fudan University,Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences

来源：

Zeitschrift für angewandte Mathematik und Physik | 2011年 / 62卷

关键词：

35B41; 35Q35; 76A15; 76D05; Liquid crystal flow; Kinematic transport; Global attractor; Finite fractal dimension;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a 2D system that models the nematic liquid crystal flow through the Navier–Stokes equations suitably coupled with a transport-reaction-diffusion equation for the averaged molecular orientations. This system has been proposed as a reasonable approximation of the well-known Ericksen–Leslie system. Taking advantage of previous well-posedness results and proving suitable dissipative estimates, here we show that the system endowed with periodic boundary conditions is a dissipative dynamical system with a smooth global attractor of finite fractal dimension.

引用

页码：979 / 992

页数：13

共 39 条

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