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math.AP2024
Far Field Asymptotics of Nematic Flows Around a Small Spherical Particle
Dmitry Golovaty, Nung Kwan Yip
Given a small spherical particle, we consider flow of a nematic liquid crystal in the corresponding exterior domain. Our focus is on precise far field asymptotic behavior of the fl…
math.AP2014★ 1 cited
Convergence of Space-Time Discrete Threshold Dynamics to Anisotropic Motion by Mean Curvature
Oleksandr Misiats, Nung Kwan Yip
We analyze the continuum limit of a thresholding algorithm for motion by mean curvature of one dimensional interfaces in various space-time discrete regimes. The algorithm can be v…
math.AP2014
Existence and uniqueness of invariant measures for stochastic reaction-diffusion equations in unbounded domains
Oleksandr Misiats, Oleksandr Stanzhytsyi, Nung Kwan Yip
In this paper we investigate the long-time behavior of stochastic reaction-diffusion equations of the type , where is an elliptic operator, …