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
PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Weak solutions to PDEs (35D30) Ginzburg-Landau equations (35Q56)
Related Items (37)
Local well-posedness to inhomogeneous Ericksen-Leslie system with general Leslie stress tensor ⋮ Thermodynamical Consistent Modeling and Analysis of Nematic Liquid Crystal Flows ⋮ Measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank energy ⋮ A free boundary problem for compressible hydrodynamic flow of liquid crystals in one dimension ⋮ Low 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 vacuum ⋮ Local well-posedness of strong solutions to density-dependent liquid crystal system ⋮ Global well-posedness of the non-isothermal model for incompressible nematic liquid crystals ⋮ Dynamics of the Ericksen-Leslie equations with general Leslie stress. I: The incompressible isotropic case ⋮ Large deviation principles for a 2D liquid crystal model with jump noise ⋮ Singularity formation to the two-dimensional compressible non-isothermal nematic liquid crystal flows in a bounded domain ⋮ Recent developments of analysis for hydrodynamic flow of nematic liquid crystals ⋮ Stationary solutions to the three-dimensional compressible nonisothermal nematic liquid crystal flows ⋮ Energy conservation for the weak solutions to the 3D compressible nematic liquid crystal flow ⋮ The existence and uniqueness of time-periodic solutions to the non-isothermal model for compressible nematic liquid crystals in a periodic domain ⋮ On the long-time behavior of some mathematical models for nematic liquid crystals ⋮ Non-isothermal general Ericksen-Leslie system: derivation, analysis and thermodynamic consistency ⋮ Global existence for slightly compressible hydrodynamic flow of liquid crystals in two dimensions ⋮ Global well-posedness to the 3D Cauchy problem of compressible non-isothermal nematic liquid crystal flows with vacuum ⋮ Global strong solutions to the one-dimensional full compressible liquid crystal equations with temperature-dependent heat conductivity ⋮ Analysis of Viscous Fluid Flows: An Approach by Evolution Equations ⋮ Local existence of unique strong solution to non-isothermal model for incompressible nematic liquid crystals in 3D ⋮ Local well-posedness for a compressible non-isothermal model for nematic liquid crystals ⋮ Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy ⋮ Dissipative solution to the Ericksen-Leslie system equipped with the Oseen-Frank energy ⋮ Regularity criteria for some simplified non-isothermal models for nematic liquid crystals ⋮ Strong solutions to the density-dependent incompressible nematic liquid crystal flows with heat effect ⋮ Global weak solution and large-time behavior for the compressible flow of liquid crystals ⋮ A new approach to non-isothermal models for nematic liquid crystals ⋮ Global solution to the nematic liquid crystal flows with heat effect ⋮ Global well-posedness of non-isothermal inhomogeneous nematic liquid crystal flows ⋮ Global well-posedness and decay of smooth solutions to the non-isothermal model for compressible nematic liquid crystals ⋮ Weak-strong uniqueness for measure-valued solutions to the Ericksen-Leslie model equipped with the Oseen-Frank free energy ⋮ Strong solutions to the Cauchy problem of two-dimensional compressible non-isothermal nematic liquid crystal flows with vacuum and zero heat conduction ⋮ On the 2D Ericksen-Leslie equations with anisotropic energy and external forces ⋮ On the existence and uniqueness of solution to a stochastic simplified liquid crystal model ⋮ Local 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