9 citations · 14 across the 4 of their papers we have counts for
11 papers
Finite Time Blowup of Solutions to SPDEs with Bernstein Functions of the Laplacian
Chan-Song Deng, Wei Liu, Erkan Nane
The blowup in finite time of solutions to SPDEs \begin{equation*} \partial_tu_t(x)=-ϕ(-Δ)u_t(x) +σ(u_t(x))\dotξ(t,x), \quad t>0,x\in\mathbb{R}^d, \end{equation*} { is} investigated…
The Kinetic Fokker-planck Equation With Mean Field Interaction
Arnaud Guillin, Wei Liu, Liming Wu +1
We study the long time behaviour of the kinetic Fokker-Planck equation with mean field interaction, whose limit is often called Vlasov-Fkker-Planck equation. We prove a uniform (in…
Well-posedness of Backward Stochastic Partial Differential Equations with Lyapunov Condition
Wei Liu, Rongchan Zhu
In this paper we show the existence and uniqueness of strong solutions for a large class of backward SPDE where the coefficients satisfy a specific type Lyapunov condition instead…
Uniform Poincar{é} and logarithmic Sobolev inequalities for mean field particles systems
Arnaud Guillin, Wei Liu, Liming Wu +1
In this paper we establish some explicit and sharp estimates of the spectral gap and the log-Sobolev constant for mean field particles system, uniform in the number of particles, w…
Equivalence of pth moment stability between stochastic differential delay equations and their numerical methods
Zhenyu Bao, Jingwen Tang, Yan Shen +1
In this paper, a general theorem on the equivalence of pth moment stability between stochastic differential delay equations (SDDEs) and their numerical methods is proved under the…
-solutions for stochastic Navier-Stokes equations with jump noise
Jiahui Zhu, Zdzisław Brzeźniak, Wei Liu
We study the existence and uniqueness of solutions of 2D Stochastic Navier-Stokes equation with space irregular jump noise for initial data in certain Sobolev spaces of negative or…