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The Landau-de Gennes theory of nematic liquid crystals: Uniaxiality versus Biaxiality

  • Published:2012 Issue:3 Volume:11 Page:1303-1337
  • ISSN:1553-5258
  • Container-title:Communications on Pure & Applied Analysis
  • language:en
  • Short-container-title:

Author:

Majumdar Apala,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Medicine,Applied Mathematics,Analysis

Reference29 articles.

1. Null Lagrangians, weak continuity, and variational problems of arbitrary order,;J. M. Ball;J. Functional Anal.,1981

2. Orientability and energy minimization for liquid crystals,;J. M. Ball;Archive for Rational Mechanics and Analysis,2011

3. "Ginzburg-Landau Vortices, Progress in Nonlinear Differential Equations and Their Applications,";F. Bethuel;13. Birkhauser,1994

4. Asymptotics for the minimization of a Ginzburg-Landau functional,;F. Bethuel;Calculus of Variations and Partial Differential Equations,1993

5. Harmonic maps with defects,;H. Brezis;Communications in Mathematical Physics,1986

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1. Elementary Liquid Crystal Physics;Modern Antenna;2024

2. Liquid Crystals;Springer Tracts in Modern Physics;2024

3. Orientability and asymptotic convergence of Q-tensor flow of biaxial nematic liquid crystals;Calculus of Variations and Partial Differential Equations;2022-06-28

4. Existence of solutions to the biaxial nematic liquid crystals with two order parameter tensors;Mathematical Methods in the Applied Sciences;2020-04-19

5. Higher dimensional Ginzburg–Landau equations under weak anchoring boundary conditions;Journal of Functional Analysis;2019-01
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