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arxiv: 1209.2988 · v1 · pith:OI3DEI4Gnew · submitted 2012-09-13 · 🧮 math.AP · math-ph· math.MP· physics.flu-dyn

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

classification 🧮 math.AP math-phmath.MPphysics.flu-dyn
keywords compressiblegeneralsmoothsolutionscauchyclassicalconservedcrystal
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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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