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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

A conditional no-splash criterion for two-fluid Euler--MHD interface

Chengchun Hao

We study a two-dimensional incompressible two-fluid system: an inviscid, irrotational Euler phase and a viscous, conducting MHD phase, separated by a free interface. We prove a con…