4 papers
On the Lifespan of Axisymmetric Hall-MHD with Swirl
Zhipeng Wu, Linbin Yang
In this paper, we study the three-dimensional inviscid incompressible resistive Hall-MHD system in the axisymmetric setting with nontrivial swirl velocity and purely azimuthal magn…
Lifespan of the Non-resistive Hall-MHD System with Small Magnetic Gradient
Linbin Yang, Taoran Zhou
In this paper, we consider the non-resistive axially symmetric Hall-MHD system. We show that the lifespan of their strong solutions can be arbitrarily large if their initial magnet…
The Immersed Skeletal Finite Element Method for Elliptic Interface Problems
Lin Yang, Qilong Zhai
In this paper, we present a new immersed finite element scheme for solving elliptic interface problems on unfitted meshes by combining the skeletal finite element method (FEM) with…
The pressure-robust weak Galerkin finite element method for Stokes-Darcy problem
Jiwei Jia, Lin Yang, Qilong Zhai
In this paper, we propose a pressure-robust weak Galerkin (WG) finite element scheme to solve the Stokes-Darcy problem. To construct the pressure-robust numerical scheme, we use th…