6 papers
Non-concentration phenomenon for one dimensional reaction-diffusion systems with mass dissipation
Juan Yang, Anna Kostianko, Chunyou Sun +2
Reaction-diffusion systems with mass dissipation are known to possess blow-up solutions in high dimensions when the nonlinearities have super quadratic growth rates. In dimension o…
Analysis of mass controlled reaction-diffusion systems with nonlinearities having critical growth rates
Chunyou Sun, Bao Quoc Tang, Juan Yang
We analyze semilinear reaction-diffusion systems that are mass controlled, and have nonlinearities that satisfy critical growth rates. The systems under consideration are only assu…
Well-posedness of Stochastic 2D Hydrodynamics type Systems with Multiplicative Lévy Noises
Xuhui Peng, Juan Yang, Jianliang Zhai
We establish the existence and uniqueness of solutions to an abstract nonlinear equation driven by a multiplicative noise of Lévy type, which covers many hydrodynamical models incl…
Asymptotics of stochastic 2D Hydrodynamical type systems in unbounded domains
Juan Yang, Jianliang Zhai
In this paper, we prove a central limit theorem and establish a moderate deviation principle for 2D stochastic hydrodynamical type systems with multiplicative noise in unbounded do…
SPDEs with two reflecting walls and two singular drifts
Juan Yang, Jianliang Zhai
We study SPDEs with two reflecting walls , and two singular drifts , , driven by space-time white noise…
Existence and uniqueness of invariant measures for SPDEs with two reflecting walls
Juan Yang, Tusheng Zhang
In this article, we study stochastic partial differential equations with two reflecting walls, driven by space-time white noise with non-constant diffusion coefficients under perio…