3 papers
math.PR2026
Well-posedness of stochastic parabolic equations with gradient nonlinearities and applications to phase-field models
Amjad Saef
We study well-posedness of stochastic parabolic equations with gradient nonlinearities. Our analysis is based on recent maximal-regularity frameworks for nonlinear stochastic parab…
math.PR2026
On a stochastic phase-field model of cell motility with singular diffusion
Amjad Saef, Wilhelm Stannat
We study existence of solutions in the variational sense for a class of stochastic phase-field models describing moving boundary problems. The models consist of stochastic reaction…
math.PR2025
Stability of travelling wave solutions to reaction-diffusion equations driven by additive noise with Hölder continuous paths
Amjad Saef, Wilhelm Stannat
In this paper we investigate stability of travelling wave solutions to a class of reaction-diffusion equations perturbed by infinite-dimensional additive noise with Hölder continu…