Global solutions of the Hunter-Saxton equation

Details Global solutions of the Hunter-Saxton equation Global solutions of the Hunter-Saxton equation

2005-02-02

arxiv.org/abs/math/0502059v1

Mathematics

Analysis of PDEs

31 pages

Scientific paper

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.

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