Communications on Pure & Applied Analysis · 2013 · 21 citations · 16 references
Natural SciencesPhysicsFluid DynamicsFluid MechanicsLiquid CrystalsNavier-stokes EquationsWeak FormulationBlow-up CriteriaBlow-up PhenomenaStability CriterionStrong Solutions
We consider the existence of strong solution to liquid crystals system in critical Besov space, and give a criterion which is similar to Serrin's criterion on regularity of weak solution to Navier-Stokes equations.
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Some constitutive equations for liquid crystals
F. M. Leslie · Archive for Rational Mechanics and Analysis · 1968 · 1.6K citations
On the Navier-Stokes initial value problem. I
Hiroshi Fujita, Tosio Kato · Archive for Rational Mechanics and Analysis · 1964 · 1.3K citations