A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants-Reference-Cited by-同舟云学术

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A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants

Published:2020-03-10 Issue:3 Volume:236 Page:1739-1805
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Golovaty Dmitry,Novack Michael,Sternberg Peter,Venkatraman Raghavendra

Funder

National Science Foundation

Simons Foundation

Indiana University COAS Dissertation Year Fellowship

Carnegie Mellon Center for Nonlinear Analysis

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00205-020-01501-x.pdf

Reference40 articles.

1. Alouges, F., Rivière, T., Serfaty, S.: Néel and cross-tie wall energies for planar micromagnetic configurations. ESAIM Control Optim. Calc. Var. 8, 31–68, 2002. (A tribute to J. L. Lions)

2. Ambrosio, L., De Lellis, C., Mantegazza, C.: Line energies for gradient vector fields in the plane. Calc. Var. Partial Differ. Equ. 9(4), 327-255, 1999

3. Angenent, S., Gurtin, M.E.: Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface. Arch. Ration. Mech. Anal. 108(3), 323–391, 1989

4. Aviles, P., Giga, Y.: On lower semicontinuity of a defect energy obtained by a singular limit of the Ginzburg–Landau type energy for gradient fields. Proc. R. Soc. Edinb. Sect. A129(1), 1–17, 1999

5. Baldo, S.: Minimal interface criterion for phase transitions in mixtures of Cahn–Hilliard fluids. Ann. Inst. H. Poincaré Anal. Non Linéaire7(2), 67–90, 1990

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1. Phase transition of an anisotropic Ginzburg–Landau equation;Calculus of Variations and Partial Differential Equations;2024-07-10

2. Nematic-Isotropic Phase Transition in Beris-Edward System at Critical Temperature;2024

3. Correction to: A Model Problem for Nematic-Isotropic Transitions with Highly Disparate Elastic Constants;Archive for Rational Mechanics and Analysis;2023-05-03

4. Isotropic‐Nematic Phase Transition and Liquid Crystal Droplets;Communications on Pure and Applied Mathematics;2022-04-16

5. The Two-Dimensional Liquid Crystal Droplet Problem with a Tangential Boundary Condition;Archive for Rational Mechanics and Analysis;2022-01-18

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