Weijun Xu

collaborators

3 papers

math.PR2026

Generalised stochastic curvature flow in $d \geq 2$ , and sharp interface limit for the stochastic Allen-Cahn equation with nonlinear diffusion

Weijun Xu, Shuhan Zhou

We construct the local-in-time solution of the generalised anisotropic direction-dependent curvature flow in dimension $d \geq 2$ forced by a white-in-time and smooth-in-space Gaus…

math.PR2025

Interface fluctuations for $1$ D stochastic Allen-Cahn equation -- singular regime

Weijun Xu, Shuhan Zhou

We study interface fluctuations for the $1$ D stochastic Allen-Cahn equation perturbed by half a spatial derivative of the spacetime white noise. This half derivative makes the solu…

math.PR2025

Interface fluctuations for $1$ D stochastic Allen-Cahn equation revisited

Weijun Xu, Wenhao Zhao, Shuhan Zhou

We revisit the interface fluctuation problem for the $1$ D Allen-Cahn equation perturbed by a small space-time white noise. We show that if the initial data is a standing wave solut…

Generalised stochastic curvature flow in d≥2, and sharp interface limit for the stochastic Allen-Cahn equation with nonlinear diffusion

Interface fluctuations for 1D stochastic Allen-Cahn equation -- singular regime

Interface fluctuations for 1D stochastic Allen-Cahn equation revisited

Generalised stochastic curvature flow in $d \geq 2$ , and sharp interface limit for the stochastic Allen-Cahn equation with nonlinear diffusion

Interface fluctuations for $1$ D stochastic Allen-Cahn equation -- singular regime

Interface fluctuations for $1$ D stochastic Allen-Cahn equation revisited