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Institut für Mathematik

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

Datum: 24.07.2020, 15:00 - 17:00 Uhr
Kategorie: Seminar, Veranstaltung
Veranstalter: Lehrstuhl für Mathematik VI (Mathematik in den Naturwissenschaften)
Vortragende:r: Tao Huang

via Zoom video conference (request the Zoom link from anja.schloemerkemper@mathematik.uni-wuerzburg.de).

Abstract:

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.

 

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