Evolution of non-isothermal Landau-de Gennes nematic liquid crystals\n flows with singular potential

2012/07/06 by Eduard Feireisl, Feireisl, Eduard, Elisabetta Rocca +5 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1207.1643

openalex publication_date 2012/07/06 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We discuss a 3D model describing the time evolution of nematic liquid\ncrystals in the framework of Landau-de Gennes theory, where the natural\nphysical constraints are enforced by a singular free energy bulk potential\nproposed by J.M. Ball and A. Majumdar. The thermal effects are present through\nthe component of the free energy that accounts for intermolecular interactions.\nThe model is consistent with the general principle of thermodynamics and\nmathematically tractable. We identify the a priori estimates for the associated\nsystem of evolutionary partial differential equations and construct\nglobal-in-time weak solutions for arbitrary physically relevant initial data.\n

Cited by

• Global strong solutions for non-isothermal compressible nematic liquid crystal flows under a scaling-invariant smallness condition
• Contact set of solutions to gradient flow of Landau-de Gennes energy with a singular entropy potential

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