Mathematics Colloquium - Xiang Xu

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Date: November 25, 2019
Time: 2:45 p.m. - 3:45 p.m.
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Category: Lecture

Speaker: Professor Xiang Xu, Assistant Professor, Old Dominion Univeristy

Title: Strict/uniform physicality of a gradient flow generated by the anisotropic Landau-de Gennes energy with a singular potential

Abstract: We study a gradient flow generated by the Landau-de Gennes free energy that describes nematic liquid crystal configurations in the Q-tensor space. This free energy density functional is composed of three quadratic terms as the elastic energy density part, and a singular potential in the bulk part that is considered as a natural enforcement of a physical constraint on the eigenvalues of Q. Specifically, we give a rigorous proof that if initially the Q-tensor is physical (with the free energy possibly being infinite), then it immediately becomes strictly physical as time evolves, and it becomes uniformly physical at all large times.


Department of Mathematics



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