Establishes H^3 estimates and an asymmetric blow-up criterion for free-boundary ideal MHD with surface tension in general domains, and constructs regular data leading to finite-time self-intersection with controlled regularity.
Preprint, arXiv:2412.15625 (2024)
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Low-regularity a priori estimates, blow-up criterion, and self-intersection singularities for free-boundary ideal magnetohydrodynamics with surface tension
Establishes H^3 estimates and an asymmetric blow-up criterion for free-boundary ideal MHD with surface tension in general domains, and constructs regular data leading to finite-time self-intersection with controlled regularity.