On initial boundary value problems for variants of the Hunter-Saxton equation

Details On initial boundary value problems for variants of the Hunter-Saxton equation On initial boundary value problems for variants of the Hunter-Saxton equation

2011-03-22

arxiv.org/abs/1103.4221v2

Mathematics

Analysis of PDEs

14 pages

Scientific paper

10.1007/s00033-011-0154-z

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.

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