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math.PR2025
Nonuniqueness in law of stochastic 3d navierstokes equations with general multiplicative noise
Huaxiang Lv, Yichun Zhu
We are concerned with the three dimensional navier-stokes equations driven by a general multiplicative noise. For every divergence free and mean free initial condition in L2, we es…
math.PR2025
An inverse potential problem for the stochastic heat equation with space-time noise
Peijun Li, Xiangchan Zhu, Yichun Zhu
This paper investigates an inverse potential problem for the stochastic heat equation driven by space-time Gaussian noise, which is spatially colored and temporally white. The obje…