1209.2988 (Tudor Ratiu et al.)

Nonexistence of smooth solutions for the general compressible Ericksen
-- Leslie equations in three dimensions    [PDF]

Tudor Ratiu, Olga Rozanova

We prove that the smooth solutions to the Cauchy problem for the compressible general three-dimensional Ericksen--Leslie system modeling nematic liquid crystal flow with conserved mass, linear momentum, and dissipating total energy, generally lose classical smoothness within a finite time.

View original: http://arxiv.org/abs/1209.2988