5 citations · 6 across the 8 of their papers we have counts for
8 papers
The stochastic fractional nonlinear Schrödinger equations in and structure-preserving algorithm
Ao Zhang, Yanjie Zhang, Pengde Wang +2
In this paper, we first investigate the global existence of a solution for the stochastic fractional nonlinear Schrödinger equation with radially symmetric initial data in a suitab…
Stochastic Perturbations in the Fractional Nonlinear Schrödinger Equation: Well-posedness and Blow-up
Ao Zhang, Yanjie Zhang, Jinqiao Duan
This work investigates radial solutions for nonlinear fractional Schrödinger equations driven by multiplicative noise. Leveraging radial deterministic and stochastic Strichartz est…
Dynamical behavior of a nonlocal Fokker-Planck equation for a stochastic system with tempered stable noise
Li Lin, Jinqiao Duan, Xiao Wang +1
We characterize a stochastic dynamical system with tempered stable noise, by examining its probability density evolution. This probability density function satisfies a nonlocal Fok…
Weak averaging principle for multiscale stochastic dynamical systems driven by stable processes
Yanjie Zhang, Qiao Huang, Xiao Wang +2
We study the averaging principle for a family of multiscale stochastic dynamical systems. The fast and slow components of the systems are driven by two independent stable Lévy nois…
Analysis of multiscale methods for stochastic dynamical systems driven by -stable processes
Yanjie Zhang, Xiao Wang, Zibo Wang +1
In this paper, we first analyze the strong and weak convergence of projective integration methods for multiscale stochastic dynamical systems driven by -stable processes, which…
Mean exit time for stochastic dynamical systems driven by tempered stable Lévy fluctuations
Yanjie Zhang, Xiao Wang, Jinqiao Duan
We use the mean exit time to quantify macroscopic dynamical behaviors of stochastic dynamical systems driven by tempered Lévy fluctuations, which are solutions of nonlocal elliptic…
Most Probable Evolution Trajectories in a Genetic Regulatory System Excited by Stable Lévy Noise
Xiujun Cheng, Hui Wang, Xiao Wang +2
We study the most probable trajectories of the concentration evolution for the transcription factor activator in a genetic regulation system, with non-Gaussian stable Lévy noise in…
Fokker-Planck equation driven by asymmetric Lévy motion
Xiao Wang, Wenpeng Shang, Xiaofan Li +2
Non-Gaussian Lévy noises are present in many models for understanding underlining principles of physics, finance, biology and more. In this work, we consider the Fokker-Planck equa…