4 papers
A remark on pathwise well-posedness of the 1- stochastic heat equation
Yufei Shao, Jiawei Li, Tadahiro Oh
We study pathwise well-posedness of the stochastic heat equation (SHE) with a multiplicative noise on the circle. By combining the convolution Young and rough integration theory, i…
MDAgent2: Large Language Model for Code Generation and Knowledge Q&A in Molecular Dynamics
Zhuofan Shi, Hubao A, Yufei Shao +8
Molecular dynamics (MD) simulations are essential for understanding atomic-scale behaviors in materials science, yet writing LAMMPS scripts remains highly specialized and time-cons…
The fluctuation behaviour of the stochastic point vortex model with common noise
Yufei Shao, Xianliang Zhao
This article studies the fluctuation behaviour of the stochastic point vortex model with common noise. Using the martingale method combined with a localization argument, we prove t…
Quantitative particle approximations of stochastic 2D Navier-Stokes equation
Yufei Shao, Xianliang Zhao
In this article, we investigate an interacting particle system featuring random intensities, individual noise, and environmental noise, commonly referred to as stochastic point vor…