A priori Estimates for the Incompressible Free-Boundary Magnetohydrodynamics Equations with Surface Tension
نویسندگان
چکیده
We consider the three-dimensional incompressible free-boundary magnetohydrodynamics (MHD) equations in a bounded domain with surface tension on boundary. establish priori estimate for solutions Lagrangian coordinates $H^{3.5}$ regularity. To best of our knowledge, this is first result focusing ideal MHD tension. It worth pointing out that $1/2$-extra spatial regularity flow map $\eta$ no longer required manuscript thanks to presence
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ژورنال
عنوان ژورنال: Siam Journal on Mathematical Analysis
سال: 2021
ISSN: ['0036-1410', '1095-7154']
DOI: https://doi.org/10.1137/19m1283938