most citedConvergence of Space-Time Discrete Threshold Dynamics to Anisotropic Motion by Mean Curvature

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.AP2023

Thin Film Equations with Nonlinear Deterministic and Stochastic Perturbations

Oleksiy Kapustyan, Olha Martynyuk, Oleksandr Misiats +1

In this paper we consider stochastic thin-film equation with nonlinear drift terms, colored Gaussian Stratonovych noise, as well as nonlinear colored Wiener noise. By means of Trot…

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, …