Nematodynamics and random homogenization

DOI10.1080/00036811.2015.1036241zbMath1349.76017OpenAlexW2029149289WikidataQ58301047 ScholiaQ58301047MaRDI QIDQ2832334

Maxim S. Romanov, Gregory A. Chechkin, Tudor S. Ratiu, Tatiana P. Chechkina

Publication date: 11 November 2016

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2015.1036241

zbMATH Keywords

liquid crystalsdirector fieldEricksen-Leslie equationsnematodynamicsspeed of propagationrandom homogenization

Mathematics Subject Classification ID

Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (10)

Existence and uniqueness theorems for the two-dimensional Ericksen-Leslie system ⋮ On the behavior of solutions of the Prandtl system for a Ladyzhenskaya viscous MHD medium in the flow through a confuser ⋮ On the Stefan problem for a system of magnetohydrodynamic boundary layer equations with injection of a medium governed by the Ladyzhenskaya rheological law ⋮ Homogenization of trajectory attractors of Ginzburg-Landau equations with randomly oscillating terms ⋮ On asymptotics of attractors of the Navier-Stokes system in anisotropic medium with small periodic obstacles ⋮ Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation ⋮ Existence and uniqueness theorems for the full three-dimensional Ericksen–Leslie system ⋮ Weak convergence of attractors of reaction–diffusion systems with randomly oscillating coefficients ⋮ Homogenization of trajectory attractors of 3D Navier-Stokes system with randomly oscillating force ⋮ Strong convergence of trajectory attractors for reaction-diffusion systems with random rapidly oscillating terms

Cites Work

• Existence of solutions for the Ericksen-Leslie system
• Well-posedness of the full Ericksen–Leslie model of nematic liquid crystals
• WELL-POSEDNESS AND GLOBAL ATTRACTORS FOR LIQUID CRYSTALS ON RIEMANNIAN MANIFOLDS

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