Global Solution to a Non-linear Wave Equation of Liquid Crystal in the Constant Electric Field
Abstract
We construct a global conservative weak solution to the Cauchy problem for the non-linear variational wave equation. This wave equation is derived from a wave system modelling nematic liquid crystals in a constant electric field.
Type
Publication
In SIAM undergraduate research online
Linjun Huang
PhD Candidate of Statistics
I am currently a Statistics PhD student at University of Illinois Urbana-Champaign. I obtained my Master’s in Statistics at Columbia University. Previously, I was at UC Davis where I studied Applied Mathematics.