8 citations · 39 across the 51 of their papers we have counts for
53 papers
Ergodicity of reflected stochastic reaction-diffusion equations driven by space-time white noise
Shijie Shang, Jianliang Zhai, Tusheng Zhang
We consider the reflected stochastic reaction-diffusion equation on : \begin{align*} \left\{ \begin{aligned} d u(t,x) &=\frac{1}{2}\partial_{xx} u(t,x)dt +b(u(t,x))dt + σ(u(…
Ergodicity of stochastic reaction-diffusion equations on unbounded domains driven by space-time white noise
Shijie Shang, Jianliang Zhai, Tusheng Zhang
We consider the stochastic reaction-diffusion equation on the whole space: \begin{align*} \left\{ \begin{aligned} du(t,x) &=\frac{1}{2}\partial_{xx} u(t,x) dt+b(u(t,x))dt+ σ(u(t,x)…
Stochastic curve shortening flow driven by a transport-type pure jump Lévy noise
Xiaotian Ge, Shijie Shang, Weina Wu +1
We study the existence and uniqueness, the regularity, and the long-time behavior of strong solutions to stochastic curve shortening flow driven by a transport-type pure jump Lévy…
Stochastic transport equation with Lévy noise
Zdzisław Brzeźniak, Enrico Priola, Jianliang Zhai +1
We study the stochastic transport equation with globally -Hölder continuous and bounded vector field driven by a non-degenerate pure-jump Lévy noise of -stable type. Whereas…
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 logarithmic Schrödinger equations driven by Lévy noise
Jiahui Zhu, Jianliang Zhai
In this paper, we study the stochastic logrithmic Schrödinger equation with saturated nonlinear multiplicative Lévy noise. The global well-posedness is established for the stochast…