Global Solutions of the Hunter-Saxton Equation
نویسندگان
چکیده
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. 1 Introduction In this paper we investigate the Cauchy problem
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 37 شماره
صفحات -
تاریخ انتشار 2005