Journal articles on the topic 'Oseen Frank model'
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GOLOVATY, DMITRY, MICHAEL NOVACK, and PETER STERNBERG. "A novel Landau-de Gennes model with quartic elastic terms." European Journal of Applied Mathematics 32, no. 1 (March 24, 2020): 177–98. http://dx.doi.org/10.1017/s095679252000008x.
Full textTaylor, Jamie M. "Oseen–Frank-type theories of ordered media as the Γ-limit of a non-local mean-field free energy." Mathematical Models and Methods in Applied Sciences 28, no. 04 (April 2018): 615–57. http://dx.doi.org/10.1142/s0218202518500161.
Full textLi, Jinkai, Edriss S. Titi, and Zhouping Xin. "On the uniqueness of weak solutions to the Ericksen–Leslie liquid crystal model in ℝ2." Mathematical Models and Methods in Applied Sciences 26, no. 04 (February 16, 2016): 803–22. http://dx.doi.org/10.1142/s0218202516500184.
Full textXia, Jingmin, Patrick E. Farrell, and Florian Wechsung. "Augmented Lagrangian preconditioners for the Oseen–Frank model of nematic and cholesteric liquid crystals." BIT Numerical Mathematics 61, no. 2 (March 23, 2021): 607–44. http://dx.doi.org/10.1007/s10543-020-00838-9.
Full textEmerson, D. B. "A posteriori error estimators for the Frank-Oseen model of liquid crystals." Journal of Coupled Systems and Multiscale Dynamics 5, no. 2 (December 1, 2017): 95–110. http://dx.doi.org/10.1166/jcsmd.2017.1125.
Full textLasarzik, Robert. "Measure-valued solutions to the Ericksen–Leslie model equipped with the Oseen–Frank energy." Nonlinear Analysis 179 (February 2019): 146–83. http://dx.doi.org/10.1016/j.na.2018.08.013.
Full textOrquín-Serrano, I., J. Vijande, F. R. Villatoro, A. Ferrando, P. Fernández de Córdoba, and H. Michinel. "Transparent Boundary Condition for Oseen-Frank Model. Application for NLC Cells With Patterned Electrodes." Journal of Physics: Conference Series 605 (April 28, 2015): 012028. http://dx.doi.org/10.1088/1742-6596/605/1/012028.
Full textGreco, Carlo. "Uniqueness of director configuration states for liquid crystals in the case of weak anchoring." IMA Journal of Applied Mathematics 84, no. 4 (July 23, 2019): 748–62. http://dx.doi.org/10.1093/imamat/hxz013.
Full textAdler, J. H., T. J. Atherton, D. B. Emerson, and S. P. MacLachlan. "An Energy-Minimization Finite-Element Approach for the Frank--Oseen Model of Nematic Liquid Crystals." SIAM Journal on Numerical Analysis 53, no. 5 (January 2015): 2226–54. http://dx.doi.org/10.1137/140956567.
Full textHong, Min-Chun, and Zhouping Xin. "Global existence of solutions of the liquid crystal flow for the Oseen–Frank model in R2." Advances in Mathematics 231, no. 3-4 (October 2012): 1364–400. http://dx.doi.org/10.1016/j.aim.2012.06.009.
Full textSala, Filip A., Marzena M. Sala-Tefelska, and Maksymilian J. Bujok. "Influence of temperature diffusion on molecular reorientation in nematic liquid crystals." Journal of Nonlinear Optical Physics & Materials 27, no. 01 (March 2018): 1850011. http://dx.doi.org/10.1142/s021886351850011x.
Full textHu, Yucheng, Yang Qu, and Pingwen Zhang. "On the Disclination Lines of Nematic Liquid Crystals." Communications in Computational Physics 19, no. 2 (February 2016): 354–79. http://dx.doi.org/10.4208/cicp.210115.180515a.
Full textLasarzik, Robert. "Weak-strong uniqueness for measure-valued solutions to the Ericksen–Leslie model equipped with the Oseen–Frank free energy." Journal of Mathematical Analysis and Applications 470, no. 1 (February 2019): 36–90. http://dx.doi.org/10.1016/j.jmaa.2018.09.051.
Full textSpencer, Russell K. W., Bae-Yeun Ha, and Nima Saeidi. "Self-consistent field theory of chiral nematic worm-like chains." Journal of Chemical Physics 156, no. 11 (March 21, 2022): 114902. http://dx.doi.org/10.1063/5.0078937.
Full textMora-Corral, Carlos, and Marcos Oliva. "Relaxation of nonlinear elastic energies involving the deformed configuration and applications to nematic elastomers." ESAIM: Control, Optimisation and Calculus of Variations 25 (2019): 19. http://dx.doi.org/10.1051/cocv/2018005.
Full textTaylor, Jamie M. "Γ-convergence of a mean-field model of a chiral doped nematic liquid crystal to the Oseen–Frank description of cholesterics." Nonlinearity 33, no. 6 (May 5, 2020): 3062–102. http://dx.doi.org/10.1088/1361-6544/ab74f5.
Full textLUO, C., and M. C. CALDERER. "Numerical study of liquid crystal elastomers by a mixed finite element method." European Journal of Applied Mathematics 23, no. 1 (August 22, 2011): 121–54. http://dx.doi.org/10.1017/s0956792511000313.
Full textSala, Filip. "Beam splitting in chiral nematic liquid crystals." Photonics Letters of Poland 10, no. 4 (December 31, 2018): 109. http://dx.doi.org/10.4302/plp.v10i4.867.
Full textSierakowski, Marek, and Małgorzata Teterycz. "Possible limitations of the classical model of orientational optical nonlinearity in nematics." Open Physics 6, no. 3 (January 1, 2008). http://dx.doi.org/10.2478/s11534-008-0079-0.
Full textSadovskaya, O. V., and V. M. Sadovskii. "ANALYSIS OF THE UNSTABLE STATE OF A LIQUID CRYSTAL BASED ON THE OSEEN-FRANK MODEL." Вестник Башкирского университета, 2022, 525. http://dx.doi.org/10.33184/bulletin-bsu-2022.3.6.
Full textAllen, Aaron C., and Xiaoyu Zheng. "Equilibrium configurations in a nematic pi-cell under an electric field." Frontiers in Soft Matter 2 (September 2, 2022). http://dx.doi.org/10.3389/frsfm.2022.984400.
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