Discrete and Continuous Dynamical Systems · 2012 · 30 citations · 22 references
Natural SciencesMathematicsPhysicsDynamical SystemsFluid DynamicsFluid MechanicsComplex FluidsCompressible FlowLiquid CrystalsNavier-stokes EquationsCompressible Navier-stokes EquationsEuclidean DomainsFluid CompressibilityGlobal Existence TheoryNematic Liquid CrystalsWeak Solutions
We study a simplified system for the compressible fluid of Nematic Liquid Crystals in a bounded domain in three Euclidean space and prove the global existence of the finite energy weak solutions.
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<i>The Physics of Liquid Crystals</i>
P. G. de Gennes, Jacques Prost, Robert A. Pelcovits · Physics Today · 1995 · 9.8K citations
Acta Applicandae Mathematicae · 1992 · 3.1K citations
<i>The Mathematical Theory of Viscous Incompressible Flow</i>
O. A. Ladyzhenskaya, Richard A. Silverman, Jacob T. Schwartz et al. · Physics Today · 1964 · 2.9K citations
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Some constitutive equations for liquid crystals
F. M. Leslie · Archive for Rational Mechanics and Analysis · 1968 · 1.6K citations