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

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DNM - The mathematical design of new materials

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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