6 papers
An efficient solver based on low-rank approximation and Neumann matrix series for unsteady diffusion-type partial differential equations with random coefficients
Yujun Zhu, Min Li, Yulan Ning +1
In this paper, we develop an efficient numerical solver for unsteady diffusion-type partial differential equations with random coefficients. A major computational challenge in such…
Stochastic Parareal Algorithm for Stochastic Differential Equations
Huanxin Wang, Junhan Lyu, Zicheng Peng +1
This paper analyzes the SParareal algorithm for stochastic differential equations (SDEs). Compared to the classical Parareal algorithm, the SParareal algorithm accelerates converge…
Well-posedness and no-uniform dependence for the Euler-Poincaré equations in Triebel-Lizorkin spaces
Yuanhua Zhong, Jianzhong Lu, Min Li +1
In this paper, we study the Cauchy problem of the Euler-Poincaré equations in with initial data belonging to the Triebel-Lizorkin spaces. We prove the local-in-time unique e…
The failure of Hölder regularity of solutions for the Euler-Poincaré equations in Besov spaces
Guorong Qu, Min Li
In this paper, we investigate the continuity of solution to the Euler-Poincaré equations. We show that the continuity of the solution cannot be improved to the Hölder continuity. T…
The uniform existence time and Zero-Alpha limit problem of the Euler-Poincaré equations
Min Li, Zhaoyang Yin
We consider the Cauchy problem of the Euler-Poincaré equations in with a varying dispersion parameter . Based on the convex entropy structure and the modified com…
Zero-filter limit issue for the Camassa-Holm equation in Besov spaces
Yuxing Cheng, Jianzhong Lu, Min Li +2
In this paper, we focus on zero-filter limit problem for the Camassa-Holm equation in the more general Besov spaces. We prove that the solution of the Camassa-Holm equation converg…