Stochastic heat equations on moving domains
Probability
2023-01-25 v1
Abstract
In this paper, we establish the well-posedness of stochastic heat equations on moving domains, which amounts to a study of infinite dimensional interacting systems. The main difficulty is to deal with the problems caused by the time-varying state spaces and the interaction of the particle systems. The interaction still occurs even in the case of additive noise. This is in contrast to stochastic heat equations in a fixed domain.
Cite
@article{arxiv.2301.09897,
title = {Stochastic heat equations on moving domains},
author = {Tianyi Pan and Wei Wang and Jianliang Zhai and Tusheng Zhang},
journal= {arXiv preprint arXiv:2301.09897},
year = {2023}
}