2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74059We 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.31 pagesAnalysis of PDEstext