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math.PR2025
Stochastic Curve Shortening Flow with Scale-Dependent Noise
Qi Yan
In this paper, we study the motion by mean curvature of curves in the plane perturbed by scale-dependent noise. We first introduce a so-called scale-dependent noise from the physic…
math.PR2025
Maximal Solutions and Stochastic Free Boundary Formulations for Stochastic Willmore and Surface Diffusion Flows on
Qi Yan
We study the stochastic Willmore flow and the stochastic surface diffusion flow for closed or non-closed curves on in this paper. We equivalently formulate them as a…