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The approach to equilibrium for the Ericksen-Leslie system and related questions of Q-tensor theory

Presented by: 
L Liu [Oxford]
Wednesday 22nd May 2013 - 11:30 to 11:50
INI Seminar Room 1
I will talk a bit about the approach to equilibrium in liquid crystal materials. And I shall talk about viscoelasticity equation and the connection of it to liquid crystal problems. The Ericksen-Leslie system plays an important row in describing the flow of nematic liquid crystal materials. Under Parodi's relation, we have the global well-posedness and Lyapunov stability for the system near local energy minimizers. There also exist some similar results in Q-tensor theory and I am interested to find the relation between the two theories. Further, there shares some common traits in the Ericksen-Leslie system with the problem of the approach to equilibrium in nonlinear quasistatic viscoelasticity system. I will try to compare the two systems and list the difficulties that need to be solved.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons