3 citations · 3 across the 7 of their papers we have counts for
14 papers · 1 filter
Quadratic Transportation Cost Inequality For Scalar Stochastic Conservation Laws
Rangrang Zhang, Tusheng Zhang
In this paper, we established a quadratic transportation cost inequality for scalar stochastic conservation laws driven by multiplicative noise. The doubling variables method plays…
Ergodicity for stochastic conservation laws with multiplicative noise
Zhao Dong, Rangrang Zhang, Tusheng Zhang
We proved that there exists a unique invariant measure for solutions of stochastic conservation laws with Dirichlet boundary condition driven by multiplicative noise. Moreover, a p…
Large deviations for stochastic porous media equations
Rangrang Zhang
In this paper, we establish the Freidlin-Wentzell type large deviation principles for porous medium-type equations perturbed by small multiplicative noise. The porous medium operat…
Ergodicity and exponential mixing of the real Ginzburg-Landau equation with a degenerate noiss
Xuhui Peng, Jianhua Huang, Rangrang Zhang
In this paper, we establish the existence, uniqueness and attraction properties of an invariant measure for the real Ginzburg-Landau equation in the presence of a degenerate stocha…
On the small time asymptotics of quasilinear parabolic stochastic partial differential equations
Rangrang Zhang
In this paper, we establish a small time large deviation principles for the quasilinear parabolic stochastic partial differential equations with multiplicative noise, which are nei…
On the small time asymptotics of scalar stochastic conservation laws
Zhao Dong, Rangrang Zhang
In this paper, we establish a small time large deviation principles for scalar stochastic conservation laws driven by multiplicative noise. The doubling of variables method plays a…