Friday, September 14, 2012

1209.2988 (Tudor Ratiu et al.)

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

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.
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