University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Thermodynamics, energetics and regularity for a De Gennes liquid crystal system

Thermodynamics, energetics and regularity for a De Gennes liquid crystal system

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We present a thermodynamically consistent model describing the time evolution of nematic liquid crystals in the framework of DeGennes Q-tensor theory. The thermal effects are present through the component of the free energy that accounts for intermolecular interactions. We identify the apriori estimates and construct global-in-time weak solutions for arbitrary physically relevant initial data. In the second part of the talk, and for the case when the temperature is ignored, we prove global regularity in 2D and estimates on the rate of increase of the high norms. The first part is joint work with E. Feireisl, E. Rocca and G. Schimperna, while the second part is joint work with M. Paicu.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.

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