5 papers
Uniform Large Deviations, Barrier Identity and the Néel--Arrhenius Law for the One-Dimensional Stochastic Landau--Lifshitz--Gilbert Equation
Zdzisław Brzeźniak, Fan Gu, Liang Li
We study the one-dimensional stochastic Landau-Lifshitz-Gilbert equation with a regularised, multiplicative, degenerate trace-class noise of strength sqrt(eps), the regularisation…
The well-posedness of stochastic Korteweg--de Vries equations revisited
Jie Chen, Fan Gu
In this paper, we propose a new view, which leads to almost sure well-posedness in , for studying stochastic KdV equations. Different from \cite{de1999w…
Strichartz type estimates of the Airy equation
Jie Chen, Fan Gu, Boling Guo
In this article, we show the necessary and sufficient conditions for the inequality , where $$\|u\|_{X^{s,b}}:=\|\hat{u}(τ,ξ)\langle ξ\r…
Stochastic Schrödinger-Korteweg de Vries systems driven by multiplicative noises
Jie Chen, Fan Gu, Boling Guo
In this paper, we consider the well-posedness of stochastic S-KdV driven by multiplicative noises in . To get the local well-posedness, we first develop the bili…
The concentration of zero-noise limits of invariant measures for stochastic dynamical systems
Zhao Dong, Fan Gu, Liang Li
In this paper, we study concentration phenomena of zero-noise limits of invariant measures for stochastic differential equations defined on with locally Lipschitz co…