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Publication 14-CNA-018
Gautam Iyer Xiang Xu Arghir Zarnescu Abstract: We consider a four-elastic-constant Landau-de Gennes energy characterizing nematic liquid
crystal congurations described using the Q-tensor formalism. The energy contains a cubic
term and is unbounded from below. We study dynamical effects produced by the presence of
this cubic term by considering an L2 gradient flow generated by this energy. We work in two
dimensions and concentrate on understanding the relations between the physicality of the initial
data and the global well-posedness of the system.Get the paper in its entirety as 14-CNA-018.pdf |