3 papers
math.AP2026
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 $…
math.AP2026
Multi-Dimensional Structural Stability of Mixed Riemann Configurations Containing Centered Rarefaction Waves and Surfaces of Discontinuities of Gas Dynamics
Jin Jia, Tao Luo
For 2D compressible Euler equations of isentropic gas, we prove the structural stability of mixed Riemann configurations containing centered rarefaction waves and surfaces of disco…
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…