3 papers
math.AP2026
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…
math.AP2025
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…
math.AP2025
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…