Mathematics and liquid crystals
JM Ball - Molecular Crystals and Liquid Crystals, 2017 - Taylor & Francis
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A new approach to non-isothermal models for nematic liquid crystals
E Feireisl, M Frémond, E Rocca… - Archive for Rational …, 2012 - Springer
We introduce a new class of non-isothermal models describing the evolution of nematic
liquid crystals and prove their consistency with the fundamental laws of classical …
liquid crystals and prove their consistency with the fundamental laws of classical …
A review of mathematical analysis of nematic and smectic-A liquid crystal models
B Climent-Ezquerra… - European Journal of …, 2014 - cambridge.org
We review the mathematical analysis of some uniaxial, liquid crystal phases. Firstly, we state
the models for the two different studied phases: nematic and smectic-A liquid crystals. The …
the models for the two different studied phases: nematic and smectic-A liquid crystals. The …
Second order, linear, and unconditionally energy stable schemes for a hydrodynamic model of smectic-A liquid crystals
R Chen, X Yang, H Zhang - SIAM Journal on Scientific Computing, 2017 - SIAM
In this paper, we consider the numerical approximations for a hydrodynamical model of
smectic-A liquid crystals. The model, derived from the variational approach of the modified …
smectic-A liquid crystals. The model, derived from the variational approach of the modified …
On a 3D isothermal model for nematic liquid crystals accounting for stretching terms
C Cavaterra, E Rocca - Zeitschrift für angewandte Mathematik und Physik, 2013 - Springer
In the present contribution, we study a PDE system describing the evolution of a nematic
liquid crystals flow under kinematic transports for molecules of different shapes. More in …
liquid crystals flow under kinematic transports for molecules of different shapes. More in …
Strong solutions, global regularity, and stability of a hydrodynamic system modeling vesicle and fluid interactions
In this paper, we study a hydrodynamic system modeling the deformation of vesicle
membranes in incompressible viscous fluids. The system consists of the Navier--Stokes …
membranes in incompressible viscous fluids. The system consists of the Navier--Stokes …
Convergence to equilibrium of global weak solutions for a Cahn–Hilliard–Navier–Stokes vesicle model
B Climent-Ezquerra, F Guillén-González - Zeitschrift für angewandte …, 2019 - Springer
In this paper, we consider a model describing the dynamics of vesicle membranes within an
incompressible viscous fluid in 3 D domains. The system consists of the Navier–Stokes …
incompressible viscous fluid in 3 D domains. The system consists of the Navier–Stokes …
Approximation of Smectic-A liquid crystals
F Guillén-González, G Tierra - Computer Methods in Applied Mechanics …, 2015 - Elsevier
In this paper, we present a generic energy-stable numerical scheme for a Smectic-A liquid
crystal model. This model involves the hydrodynamic velocity–pressure variables (u, p) and …
crystal model. This model involves the hydrodynamic velocity–pressure variables (u, p) and …
Convergence to equilibrium for smectic-A liquid crystals in 3D domains without constraints for the viscosity
B Climent-Ezquerra, F Guillén-González - Nonlinear Analysis: Theory …, 2014 - Elsevier
In this paper, we focus on a smectic-A liquid crystal model in 3 D domains, and obtain three
main results: the proof of an adequate Lojasiewicz–Simon inequality by using an abstract …
main results: the proof of an adequate Lojasiewicz–Simon inequality by using an abstract …
一类四阶非线性发展方程的整体吸引子.
杨佳雪, 段宁 - Journal of Jilin University (Science Edition) …, 2022 - search.ebscohost.com
一类四阶非线性发展方程的整体吸引子 Page 1 第60卷第4期 吉林大学学报(理学版) Vol.60 No.4
2022年7月 JournalofJilinUniversity(ScienceEdition) July 2022 doi:10.13413/j.cnki.jdxblxb.2021426 …
2022年7月 JournalofJilinUniversity(ScienceEdition) July 2022 doi:10.13413/j.cnki.jdxblxb.2021426 …