From the 1 of 12 linked papers with an AI index.
12 papers
Stochastic Scalar Conservation Laws on Moving Hypersurfaces
Ping Chen, Tusheng Zhang
The paper proves existence, uniqueness, and stability of stochastic scalar conservation laws defined on evolving hypersurfaces, using entropy solutions and stochastic analysis tech…
Transportation-cost inequalities for invariant measures of stochastic reaction-diffusion equations driven by space-time white noise
Shijie Shang, Tusheng Zhang
In this paper, we establish transportation-cost inequalities for invariant measures of stochastic reaction-diffusion equations driven by multiplicative space-time white noise. In p…
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 + Ï(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+ Ï(u(t,x…
Reflected stochastic partial differential equations with fully local monotone coefficients in infinite dimensional domains
Qi Li, Yue Li, Tusheng Zhang
This paper establishes the well-posedness of stochastic partial differential equations with reflection in an infinite-dimensional ball, within the fully local monotone framework. O…
Asymptotic Log-Harnack Inequality for Degenerate SPDEs with Reflection
Qi Li, Feng-Yu Wang, Tusheng Zhang
By constructing a suitable coupling by change of measures, the asymptotic log- Harnack inequality is established for a class of degenerate SPDEs with reflection. This inequality im…