182 citations · 1.5k across the 227 of their papers we have counts for
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Martingale and Weak Solutions for a Stochastic Nonlocal Burgers Equation on Bounded Intervals
Guangying Lv, Jinqiao Duan
This work is about the existence of martingale solutions and weak solutions for a stochastic nonlocal Burgers equation on bounded intervals. The existence of a martingale solution…
Derivation of Fokker-Planck equations for stochastic dynamical systems under excitation of multiplicative non-Gaussian white noise
Xu Sun, Jinqiao Duan, Xiaofan Li +3
Fokker-Planck equations describe time evolution of probability densities of stochastic dynamical systems and play an important role in quantifying propagation and evolution of unce…
Approximation of the inertial manifold for a nonlocal dynamical system
Xingjie Yan, Jinchun He, Jinqiao Duan
We consider inertial manifolds and their approximation for a class of partial differential equations with a nonlocal Laplacian operator , with . The nonlo…
Impacts of Noise on a Class of Partial Differential Equations
Guangying Lv, Jinqiao Duan
This paper is concerned with effects of noise on the solutions of partial differential equations. We first provide a sufficient condition to ensure the existence of a unique positi…