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On the long-time behavior of some mathematical models for nematic liquid crystals
liquid crystals Navier-Stokes system omega-limit set
2011/9/21
Abstract: A model describing the evolution of a liquid crystal substance in the nematic phase is investigated in terms of two basic state variables: the {\it velocity field} $\bu$ and the {\it directo...
On a 3D isothermal model for nematic liquid crystals accounting for stretching terms
3D isothermal model nematic liquid crystals Analysis of PDEs
2011/9/15
Abstract: The present contribution investigates the well-posedness of a PDE system describing the evolution of a nematic liquid crystal flow under kinematic transports for molecules of different shape...
Periodic long-time behaviour for an approximate model of nematic polymers
Periodic long-time behaviour nematic polymers Analysis of PDEs
2011/9/14
Abstract: We study the long-time behaviour of a nonlinear Fokker-Planck equation, which models the evolution of rigid polymers in a given flow, after a closure approximation. The aim of this work is t...