Title | Global solutions of the Hunter-Saxton equation |
Publication Type | Journal Article |
Year of Publication | 2005 |
Authors | Bressan, A, Constantin, A |
Journal | SIAM J. Math. Anal. 37 (2005) 996-1026 |
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. |
URL | http://hdl.handle.net/1963/2256 |
DOI | 10.1137/050623036 |
Research Group: