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

Abstract

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.

7 pages. arXiv admin note: text overlap with arXiv:1206.2850, arXiv:1105.2180 by other authors

References in corpus (2)

• Blow up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations
• On a family of exact solutions to the incompressible liquid crystals in two dimensions