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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Francesco De Anna
Penn State
Title: Global well-posedness for dynamical models of nematic liquid crystals

Abstract: In this talk we address the existence and uniqueness of classical and weak solutions for several models on the dynamics of nematic materials. The main peculiarity of these media is a privileged orientation of the constitutive molecules, we investigate both in the director theory and in the Q-tensor formalism.

We first deal with a material subjected to a variable temperature, whose balance laws are uniquely determined by the physical formulations of the Helmholtz free energy and the entropy production, by means of an energetic variational approach.

Secondly, we focus on several systems in an isothermal environment, the well-posedness of which is determined through Fourier-analysis techniques and above all the Littlewood-Paley decomposition.

Date: Tuesday, January 30, 2018
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  Ian Tice