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20232026
most citedA priori estimates and a blow-up criterion for the incompressible ideal MHD equations with surface tension and a closed free surface

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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 $…