Global solutions of the Hunter–Saxton equation
Alberto Bressan and Adrian Constantin
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.
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- Alberto Bressan
- Adrian Constantin,
- Publishing information:
- Submitted by:
January 25 2005.
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Last modified: Mon Jan 3 17:41:58 MET 2005