In this paper, we establish the local well-posedness of strong solutions to the three dimensional viscous non-resistive MHD system with internal surface wave in low regularity Sobolev spaces. Due to the absence of magnetic diffusion, the proof will be based on the new Stokes estimates involving in optimal surface regularity, the weighted energy estimates and the higher order horizontal regularity estimates.

中文翻译：

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具有内表面波的3D粘性非电阻MHD系统的低规律性良好

在本文中，我们建立了低规则Sobolev空间中具有内表面波的三维粘性非电阻MHD系统强解的局部适定性。由于没有磁扩散，因此证明将基于新的Stokes估计，其中涉及最佳的表面规则性，加权能量估计和高阶水平规则性估计。