4 papers
Finite-Time Splash in Free Boundary Problem of 3D Neo-Hookean Elastodynamics
Wei Zhang, Chengchun Hao, Jie Fu
This paper establishes finite-time splash singularity formation for 3D viscous incompressible neo-Hookean elastodynamics with free boundaries. The system features mixed stress-kine…
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…
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…