5 papers · 1 filter
Low-regularity a priori estimates, blow-up criterion, and self-intersection singularities for free-boundary ideal magnetohydrodynamics with surface tension
Tao Luo, Siqi Yang
We study the three-dimensional incompressible free-boundary ideal magnetohydrodynamic (MHD) equations with surface tension and a closed free surface. Our first result establishes $…
Classification of finite-time blow-up mechanisms for the incompressible free-boundary Euler equations with surface tension
Chengchun Hao, Tao Luo, Siqi Yang
We establish a blow-up criterion for strong solutions of the three-dimensional incompressible Euler equations with surface tension in a bounded domain with a closed moving free bou…
A priori estimates and a blow-up criterion for the incompressible ideal MHD equations with surface tension and a closed free surface
Chengchun Hao, Siqi Yang
We establish the a priori estimates and prove a blow-up criterion for the three-dimensional free boundary incompressible ideal magnetohydrodynamics equations. The fluid occupies a…
Exponential stability of a free boundary problem with spherical symmetry for a gas bubble immersed in a bounded incompressible liquid
Chengchun Hao, Tao Luo, Siqi Yang
This paper is mainly concerned with the free boundary problem for an approximate model (for example, arising from the study of sonoluminescence) of a gas bubble of finite mass encl…
Global well-posedness of the free boundary problem for incompressible viscous resistive MHD in critical Besov spaces
Wei Zhang, Jie Fu, Chengchun Hao +1
This paper aims to establish the global well-posedness of the free boundary problem for the incompressible viscous resistive magnetohydrodynamic (MHD) equations. Under the framewor…