6 papers · 1 filter
Polynomial mixing for the weakly damped stochastic nonlinear Schrödinger equation on the whole space
Vahagn Nersesyan, Tianyi Pan
We consider the weakly damped stochastic nonlinear Schrödinger (NLS) equation on the real line, driven by a noise that is white in time and smooth in space. Assuming that the noise…
Strong well-posedness of the two-dimensional stochastic Navier-Stokes equation on moving domains
Ping Chen, Tianyi Pan, Tusheng Zhang
In this paper, we establish the strong() well-posedness of the two dimensional stochastic Navier-Stokes equation with multiplicative noise on moving domains. Due to the nonloc…
Stochastic Stefan problem on moving hypersurfaces: an approach by a new framework of nonhomogeneous monotonicity
Tianyi Pan, Wei Wang, Jianliang Zhai +1
The purpose of this paper is to establish the well-posedness of the stochastic Stefan problem on moving hypersurfaces. Through a specially designed transformation, it turns out we…
Stochastic heat equations on moving domains
Tianyi Pan, Wei Wang, Jianliang Zhai +1
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 diffic…
Large deviations of fully local monotone stochastic partial differential equations driven by gradient-dependent noise
Tianyi Pan, Shijie Shang, Jianliang Zhai +1
Consider stochastic partial differential equations (SPDEs) with fully local monotone coefficients in a Gelfand triple $$ \left\{ \begin{align} &dX_t=A(t…
Large deviations of stochastic heat equations with logarithmic nonlinearity
Tianyi Pan, Shijie Shang, Tusheng Zhang
In this paper, we establish a large deviation principle for the solutions to the stochastic heat equations with logarithmic nonlinearity driven by Brownian motion, which is neither…