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

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

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Publication:6235657

arXiv1209.2988MaRDI QIDQ6235657

Tudor S. Ratiu, Olga S. Rozanova

Publication date: 13 September 2012

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.












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