1 citations · 1 across the 8 of their papers we have counts for
9 papers
Entropy Production and Reversibility Criteria for Stochastic Evolution Equations
Jinqiao Duan, Ao Zhang, Johannes Zimmer
This paper develops a path-space theory of entropy production for a class of stochastic evolution equations on infinite-dimensional Hilbert spaces. Since such spaces have no canoni…
A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system
Ao Zhang, Bingyin Zhang, Hongfei Fu
In this paper, we present a linearly implicit, second-order block-centered finite difference (BCFD) prediction-then-projection scheme for the multi-species Keller-Segel chemotaxis…
A variable time-step, second-order, and MBP-preserving linear stabilized scheme for the time-fractional Allen-Cahn equation
Bingyin Zhang, Ao Zhang, Hongfei Fu
In this paper, we present a second-order linear scheme based on the variable-step Alikhanov formula and central difference discretization for the time-fractional Allen-Cahn equatio…
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…
Bohmian Trajectories of the Time-oscillating Schrödinger Equations
Dandan Li, Jinqiao Duan, Li Lin +1
Bohmian mechanics is a non-relativistic quantum theory based on a particle approach. In this paper we study the Schrödinger equation with rapidly oscillating potential and the asso…
Kantorovich-Rubinstein Distance and Approximation for Non-local Fokker-Planck Equations
Ao Zhang, Jinqiao Duan
This work is devoted to studying complex dynamical systems under non-Gaussian fluctuations. We first estimate the Kantorovich-Rubinstein distance for solutions of non-local Fokker-…
Effective Approximation for a Stochastic System with Large Potential
Ao Zhang, Jinqiao Duan
This letter is about effective approximation for a stochastic parabolic equation with a large potential in a periodic medium. Under a condition on the spectral properties of the as…
Effective Wave Factorization for a Stochastic Schrödinger Equation
Ao Zhang, Jinqiao Duan
We study the homogenization of a stochastic Schrödinger equation with a large periodic potential in solid state physics. Denoting by the period, the potential is scal…