Finite-dimensional global attractor for a system modeling the 2D nematic liquid crystal flowReport as inadecuate



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


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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.



Author: Maurizio Grasselli; Hao Wu

Source: https://archive.org/







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