2 papers
math.DS2025
Stochastic Periodic Solutions for Newtonian Systems via Lyapunov Function
Junxia Duan, Jifa Jiang, Jie Xu
This paper establishes an existence theory for distributed periodic solutions to Newton's equation with stochastic time-periodic forcing, where the friction matrix is the Hessian o…
math.PR2024
Homogenization of semilinear parabolic PDEs with the third boundary conditions
Junxia Duan, Jun Peng
In this paper, we study the homogenization of the third boundary value problem for semilinear parabolic PDEs with rapidly oscillating periodic coefficients in the weak sense. Our m…