Deutsch Intern
  • Schild Mathematik Ost
Mathematics in the Sciences

Oberseminar Mathematik in den Naturwissenschaften: Tao Huang, Weak compactness of simplified nematic liquid flows in 2D

Date: 07/24/2020, 3:00 PM - 5:00 PM
Category: Seminar, Veranstaltung
Organizer: Lehrstuhl für Mathematik VI (Mathematik in den Naturwissenschaften)
Speaker: Tao Huang

via Zoom video conference (request the Zoom link from


For any bounded smooth domain in dimension two, we will establish the weak compactness property of solutions to the simplified Ericksen-Leslie system for both uniaxial and biaxial nematics, and the convergence of weak solutions of the Ginzburg-Landau type nematic liquid crystal flow to a weak solution of the simplified Ericksen-Leslie system as the parameter tends to zero. This is based on the compensated compactness property of the Ericksen stress tensor, which is obtained by the L p -estimate of the Hopf differential for the Ericksen-Leslie system and the Pohozaev type argument for the Ginzburg-Landau type nematic liquid crystal flow.