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pro vyhledávání: '"Gartland Jr, Eugene C."'
Autor:
Gartland Jr, Eugene C.
Fr\'eedericksz transitions in nematic liquid crystals are re-examined with a focus on differences between systems with magnetic fields and those with electric fields. A magnetic field can be treated as uniform in a liquid-crystal medium; while a nonu
Externí odkaz:
http://arxiv.org/abs/2409.07654
Autor:
Gartland Jr, Eugene C.
Publikováno v:
J. Phys. Commun., 5(7), 2021, 075006
A nematic liquid-crystal cell subject to an electric field created by electrodes held at constant potential is modeled as a variable capacitor in an RC circuit. The state of the system is characterized in terms of the director field in the cell and t
Externí odkaz:
http://arxiv.org/abs/2105.03749
Autor:
Gartland, Jr, Eugene C.
Publikováno v:
SIAM J. Appl. Math., 81(2), 2021, pp. 304-334
Systems involving nematic liquid crystals subjected to magnetic fields or electric fields are modeled using the Oseen-Frank macroscopic continuum theory, and general criteria are developed to assess the local stability of equilibrium solutions. The c
Externí odkaz:
http://arxiv.org/abs/2005.06705
Autor:
Gartland Jr, Eugene C.
Publikováno v:
Continuum Mech. Thermodyn., 32 (6), 2020, pp. 1559-1593
Expressions are obtained for force and couple densities and stress tensors in macroscopic models for nematic liquid crystals subjected to electric fields. The coupling between the liquid crystal orientational properties and the electric field is take
Externí odkaz:
http://arxiv.org/abs/1909.09913
Autor:
Gartland Jr, Eugene C.
Publikováno v:
Math. Model. Anal., 23 (3) 2018, pp. 414-432
Some recent analytical papers have explored limiting behaviors of Landau-deGennes models for liquid crystals in certain extreme ranges of the model parameters: limits of "vanishing elasticity" (in the language of some of these papers) and "low-temper
Externí odkaz:
http://arxiv.org/abs/1512.08164
Autor:
Gartland, Jr., Eugene C.1 gartland@math.kent.edu
Publikováno v:
Mathematical Modelling & Analysis. 2018, Vol. 23 Issue 3, p414-432. 19p.
Autor:
GARTLAND JR., EUGENE C.
Publikováno v:
SIAM Journal on Applied Mathematics; 2021, Vol. 81 Issue 2, p304-334, 31p
Autor:
Gartland Jr., Eugene C.1 gartland@math.kent.edu, Virga, Epifanio G.2 eg.virga@unipv.it
Publikováno v:
Archive for Rational Mechanics & Analysis. Apr2010, Vol. 196 Issue 1, p143-189. 47p. 2 Diagrams, 2 Charts.
Publikováno v:
European Journal of Applied Mathematics. 20:269-287
Motivated by a recent investigation of Millar and McKay [Director orientation of a twisted nematic under the influence of an in-plane magnetic field. Mol. Cryst. Liq. Cryst435, 277/[937]–286/[946] (2005)], we study the magnetic field twist-Fréeder
Autor:
Davis, Timothy A.1 tadavis@goodyear.com, Gartland Jr., Eugene C.2 gartland@mcs.kent.edu
Publikováno v:
SIAM Journal on Numerical Analysis. 1998, Vol. 35 Issue 1, p336-362. 27p.