arXiv:math/0502059 Abstract

arXiv:math/0502059 [math.AP]Abstract References Reviews Resources

Global solutions of the Hunter-Saxton equation

Published 2005-02-02Version 1

We construct a continuous semigroup of weak, dissipative solutions to a nonlinear partial differential equations 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.

Comments: 31 pages

Categories: math.AP

Keywords: global solutions, hunter-saxton equation, partial differential equations modeling, differential equations modeling nematic liquid, nonlinear partial differential equations

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