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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