University of Connecticut

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Math Physics Learning Seminar
Xiaodong Yan, University Of Connecticut
An Approximate Smectic Liquid Crystal Model: Compactness And Sharp Lower Bound

Friday, October 30, 2020
10:00am – 11:00am

Storrs Campus
online (please contact Masha)

Smectic liquid crystals are remarkable examples of geometrically frustrated multi-layer system of soft matters. The sutble interplay between the geometry of the layers and equal spacing imposes theoretical complications and understanding the layer structures is a challenging task. In this talk, we shall discuss an approximate nonlinear smectic liquid crystal model in 2 dimensions. Our main results are a compactness theorem for a sequence with bounded energy and a sharp lower bound on the energy. Our analysis indicates that for the 2d model we studied, the defect energy of asymptotically minimal configurations corresponds to the energy of a 1D ansatz, which confirms equipartition between the bending and compression terms in the energy functional is optimal. This is joint work with Michael Novack.


Math Physics Learning Seminar (primary), Analysis Learning Seminar, UConn Master Calendar

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