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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy stability of exponential time differencing schemes for the nonlocal Cahn-Hilliard equation
非局部 Cahn-Hilliard方程 指数时间 差分方案 能量稳定性
2023/4/24
In this talk, we consider a class of exponential time differencing (ETD) schemes for solving the nonlocal Cahn-Hilliard equation. We first use the Fourier collocation method to discretize the space do...
Orientability and energy minimization in liquid crystal models
Orientability energy minimization liquid crystal models
2010/12/6
Uniaxial nematic liquid crystals are modelled in the Oseen-Frank theory through a unit vector field n. This theory has the apparent drawback that it does not respect the head-to-tail symmetry in which...
On the energy-minimizing steady states of a thin film equation
energy-minimizing steady states thin film equation
2010/12/9
Steady states of the thin film equation ut + [u3 (uθθθ + 2uθ − sin )]θ = 0 are considered
on the periodic domain = (−, ). The equation defines a generalized gradient flow for an
ene...