On initial boundary value problems for variants of the Hunter-Saxton equation
arXiv:1103.4221 · doi:10.1007/s00033-011-0154-z
Abstract
The Hunter-Saxton equation serves as a mathematical model for orientation waves in a nematic liquid crystal. The present paper discusses a modified variant of this equation, coming up in the study of critical points for the speed of orientation waves, as well as a two-component extension. We establish well-posedness and blow-up results for some initial boundary value problems for the modified Hunter-Saxton equation and the two-component Hunter-Saxton system.
14 pages