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On the Ericksen-Leslie's hyperbolic model for liquid crystals

Presented by: 
Ning Jiang Wuhan University
Wednesday 6th March 2019 - 15:00 to 16:00
INI Seminar Room 2
The original Ericksen-Leslie's model for liquid crystals includes the inertia effect, the corresponding balance laws includes second material derivatives. This system includes a coupling of Navier-Stokes equations with a S^2 valued hyperbolic system. In this talk, we review our recent work on the well-posedness of this hyperbolic Ericksen-Leslie's liquid crystal model and the justification of the zero inertia limit to the parabolic model which has been extensively studied in the past three decades. This is a series work joint with Luo, Tang, Zarnescu, and Huang, Zhao, respectively.

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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons