4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.AP2026
Backward Uniqueness for Coupled Ultraparabolic Operators and an Application to Jerk-Driven Control Models
Xiao-Dong Cao, Chao-Jiang Xu, Yan Xu
We prove backward uniqueness for a class of ultraparabolic operators with coupled linear drift. The main difficulty is that the Fourier transform in the degenerate variables turns…
math.NA2022
Numerical simulation of singularity propagation modeled by linear convection equations with spatially heterogeneous nonlocal interactions
Xiaoxuan Yu, Yan Xu, Qiang Du
We study the propagation of singularities in solutions of linear convection equations with spatially heterogeneous nonlocal interactions. A spatially varying nonlocal horizon param…
math.NA2021★ 4 cited
Dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations
Qian Zhang, Yan Xu, Chi-Wang Shu
In this paper, we construct high order energy dissipative and conservative local discontinuous Galerkin methods for the Fornberg-Whitham type equations. We give the proofs for the…