AIMS Lab Seminar - Xinyang Lu - Asymptotics of a Convex Singular Potential from the Theory of Nematic Liquid Crystals
Title: Asymptotics of a Convex Singular Potential from the Theory of Nematic Liquid Crystals
Abstract: Liquid crystals (LC) are an intermediate state of the matter between solids and liquids. They exhibit significant mobility, but differently from pure liquids, they have a preferred orientation, commonly referred to as “director”. Modeling LCs has been a long standing problem. One of the most widely models is the Landau-de Gennes theory. The main quantity is a 3 × 3 Q-tensor matrix, and the associated energy is composed of an elastic and a bulk part. Due to modeling requirements, the eigenvalues of the Q-tensor must be constrained in (−1/3, 2/3), a condition known as “physicality”. One way to enforce this is to add a singular convex potential ψ, introduced by Ball and Majumdar. In this talk, we will present several asymptotic estimates on ψ, as the eigenvalues approach −1/3.
Date/Time: Monday November 9, 11:30am - 12:20pm
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Meeting ID: 910 5698 2661