2005/02/02 by Alberto Bressan, Adrian Constantin, Bressan, Alberto +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP
paper · pdf · doi:10.48550/arxiv.math/0502059
31 pages
arxiv created 2005/02/02 · arxiv updated 2009/12/01
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.