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arXiv · 2510.09383

Existence of martingale solutions for a stochastic weighted mean curvature flow of graphs

Qi Yan·Xiang-Dong Li
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Abstract

We are concerned with a stochastic mean curvature flow of graphs with extra force over a periodic domain of any dimension. Based on compact embedding method of variational SPDE, we prove the existence of martingale solution. Moreover, we derive the small perturbation limit of the stochastic weighted mean curvature flow.

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Qi Yan, Xiang-Dong Li. 2025-10-10. Existence of martingale solutions for a stochastic weighted mean curvature flow of graphs. https://arxiv.org/abs/2510.09383

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