101 citations · 458 across the 16 of their papers we have counts for
16 papers
Splash singularity for the free boundary incompressible viscous MHD
Chengchun Hao, Siqi Yang
In this paper, we prove the existence of smooth initial data for the two-dimensional free boundary incompressible viscous magnetohydrodynamics (MHD) equations, for which the interf…
Well-posedness for the Linearized Free Boundary Problem of Incompressible Ideal Magnetohydrodynamics Equations
Chengchun Hao, Tao Luo
We study the well-posedness theory for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations in a bounded domain. We express the magnetic fiel…
Ill-posedness of free boundary problem of the incompressible ideal MHD
Chengchun Hao, Tao Luo
In the present paper, we show the ill-posedness of the free boundary problem of the incompressible ideal magnetohydrodynamics (MHD) equations in two spatial dimensions for any posi…
On the motion of free interface in two-dimensional ideal incompressible MHD
Chengchun Hao
For the free boundary problem of the plasma-vacuum interface to ideal incompressible magnetohydrodynamics (MHD) in two-dimensional space, the a priori estimates of solutions are pr…
On the motion of free interface in ideal incompressible MHD
Chengchun Hao
For the free boundary problem of the plasma-vacuum interface to three-dimensional ideal incompressible magnetohydrodynamics (MHD), the a priori estimates of smooth solutions are pr…
A Priori Estimates for the Free Boundary Problem of Incompressible Neo-Hookean Elastodynamics
Chengchun Hao, Dehua Wang
A free boundary problem for the incompressible neo-Hookean elastodynamics is studied in two and three spatial dimensions. The a priori estimates in Sobolev norms of solutions with…