On a non-isothermal model for nematic liquid crystals

From MaRDI portal
Publication:3071100

DOI10.1088/0951-7715/24/1/012zbMath1372.76011arXiv0911.5032OpenAlexW3098209537WikidataQ59316541 ScholiaQ59316541MaRDI QIDQ3071100

Eduard Feireisl, Elisabetta Rocca, Giulio Schimperna

Publication date: 1 February 2011

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.5032




Related Items (37)

Local well-posedness to inhomogeneous Ericksen-Leslie system with general Leslie stress tensorThermodynamical Consistent Modeling and Analysis of Nematic Liquid Crystal FlowsMeasure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank energyA free boundary problem for compressible hydrodynamic flow of liquid crystals in one dimensionLow Mach number limit of a compressible non-isothermal nematic liquid crystals model\(L^\infty\) continuation principle to the compressible non-isothermal nematic liquid crystal flows with zero heat conduction and vacuumLocal well-posedness of strong solutions to density-dependent liquid crystal systemGlobal well-posedness of the non-isothermal model for incompressible nematic liquid crystalsDynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic caseLarge deviation principles for a 2D liquid crystal model with jump noiseSingularity formation to the two-dimensional compressible non-isothermal nematic liquid crystal flows in a bounded domainRecent developments of analysis for hydrodynamic flow of nematic liquid crystalsStationary solutions to the three-dimensional compressible nonisothermal nematic liquid crystal flowsEnergy conservation for the weak solutions to the 3D compressible nematic liquid crystal flowThe existence and uniqueness of time-periodic solutions to the non-isothermal model for compressible nematic liquid crystals in a periodic domainOn the long-time behavior of some mathematical models for nematic liquid crystalsNon-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamic consistencyGlobal existence for slightly compressible hydrodynamic flow of liquid crystals in two dimensionsGlobal well-posedness to the 3D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuumGlobal strong solutions to the one-dimensional full compressible liquid crystal equations with temperature-dependent heat conductivityAnalysis of Viscous Fluid Flows: An Approach by Evolution EquationsLocal existence of unique strong solution to non-isothermal model for incompressible nematic liquid crystals in 3DLocal well-posedness for a compressible non-isothermal model for nematic liquid crystalsNonisothermal nematic liquid crystal flows with the Ball-Majumdar free energyDissipative solution to the Ericksen-Leslie system equipped with the Oseen-Frank energyRegularity criteria for some simplified non-isothermal models for nematic liquid crystalsStrong solutions to the density-dependent incompressible nematic liquid crystal flows with heat effectGlobal weak solution and large-time behavior for the compressible flow of liquid crystalsA new approach to non-isothermal models for nematic liquid crystalsGlobal solution to the nematic liquid crystal flows with heat effectGlobal well-posedness of non-isothermal inhomogeneous nematic liquid crystal flowsGlobal well-posedness and decay of smooth solutions to the non-isothermal model for compressible nematic liquid crystalsWeak-strong uniqueness for measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank free energyStrong solutions to the Cauchy problem of two-dimensional compressible non-isothermal nematic liquid crystal flows with vacuum and zero heat conductionOn the 2D Ericksen-Leslie equations with anisotropic energy and external forcesOn the existence and uniqueness of solution to a stochastic simplified liquid crystal modelLocal well-posedness to the 2D Cauchy problem of non-isothermal nonhomogeneous nematic liquid crystal flows with vacuum at infinity




This page was built for publication: On a non-isothermal model for nematic liquid crystals