Energy dissipation and regularity for a coupled Navier-Stokes and Q-tensor system
Langue
en
Article de revue
Ce document a été publié dans
Archive for Rational Mechanics and Analysis. 2012, vol. 203, n° 1, p. 45-67
Springer Verlag
Résumé en anglais
We study a complex non-Newtonian fluid that models the flowof nematic liquid crystals. The fluid is described by a system that couples a forced Navier-Stokes system with a parabolic-type system. We prove the existence of ...Lire la suite >
We study a complex non-Newtonian fluid that models the flowof nematic liquid crystals. The fluid is described by a system that couples a forced Navier-Stokes system with a parabolic-type system. We prove the existence of global weak solutions in dimensions two and three.We show the existence of a Lyapunov functional for the smooth solutions of the coupled system and use cancellations that allow its existence to prove higher global regularity in dimension two. We also show the weak-strong uniqueness in dimension two.< Réduire
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