Global solutions of the Hunter-Saxton equation

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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.
31 pages

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Analysis of PDEs

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http://salesiana.dossiersoluciones.com/handle/123456789/74059

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502059
 http://arxiv.org/abs/math/0502059

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arXiv