Global Solutions of the Hunter--Saxton Equation

Alberto Bressan, Adrian Constantin

Type: Article

Publication Date: 2005-01-01

Citations: 165

DOI: https://doi.org/10.1137/050623036

Abstract

We construct a continuous semigroup of weak, dissipative solutions to a nonlinear partial differential equation modeling nematic liquid crystals. A new distance functional, determined by a problem of optimal transportation, yields sharp estimates on the continuity of solutions with respect to the initial data.

Locations

arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
SIAM Journal on Mathematical Analysis - View

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