1 citations · 1 across the 4 of their papers we have counts for
4 papers
Well-balanced path-conservative discontinuous Galerkin methods with equilibrium preserving space for two-layer shallow water equations
Jiahui Zhang, Yinhua Xia, Yan Xu
This paper introduces well-balanced path-conservative discontinuous Galerkin (DG) methods for two-layer shallow water equations, ensuring exactness for both still water and moving…
Equilibrium preserving space in discontinuous Galerkin methods for hyperbolic balance laws
Jiahui Zhang, Yinhua Xia, Yan Xu
In this paper, we develop a general framework for the design of the arbitrary high-order well-balanced discontinuous Galerkin (DG) method for hyperbolic balance laws, including the…
Analytic Gelfand-Shilov smoothing effect of fractional Kramers-Fokker-Planck equation
Chao-Jiang Xu, Yan Xu
We study the Cauchy problem of the fractional Kramers-Fokker- Planck equation and show that the solution to the Cauchy problem enjoys an analytic Gelfand-Shilov regularizing effect…
Port-Hamiltonian formulations of the incompressible Euler equations with a free surface
Xiaoyu Cheng, J. J. W. Van der Vegt, Yan Xu +1
In this paper, we present port-Hamiltonian formulations of the incompressible Euler equations with a free surface governed by surface tension and gravity forces, modelling e.g. cap…