2 papers
math.AP2025
Non-uniqueness of (Stochastic) Lagrangian Trajectories for Euler Equations
Huaxiang Lü, Michael Röckner, Xiangchan Zhu
We are concerned with the (stochastic) Lagrangian trajectories associated with Euler or Navier-Stokes equations. First, in the vanishing viscosity limit, we establish sharp non-uni…
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…