@article {2005, title = {Global solutions of the Hunter-Saxton equation}, journal = {SIAM J. Math. Anal. 37 (2005) 996-1026}, number = {SISSA;104/2004/M}, year = {2005}, abstract = {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.}, doi = {10.1137/050623036}, url = {http://hdl.handle.net/1963/2256}, author = {Alberto Bressan and Adrian Constantin} }