A regularity result for the incompressible inviscid magnetohydrodynamics equations in the Arbitrary Lagrangian-Eulerian coordinates
A regularity result for the incompressible inviscid magnetohydrodynamics equations in the Arbitrary Lagrangian-Eulerian coordinates
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DOI：
10.1016/j.jmaa.2023.127409
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发表时间：
2023-05
影响因子：
1.3
通讯作者：
Binqiang Xie;Ting Luo
中科院分区：
文献类型：
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作者：
Binqiang Xie;Ting Luo
本文考虑具有自由表面边界条件的运动区域中的不可压缩无粘磁流体力学方程。在没有流体体积小假设的情况下，当初始数据为H2.5 + δ（δ> 0），在任意拉格朗日-欧拉坐标系下，在边界条件p+12时，建立了该模型解的先验估计|B| 2= 0。事实上，这是通过将系统重新公式化为具有任意拉格朗日-欧拉变量的新公式来实现的，给出了压力的统一估计，系统的切向估计，以及旋度和散度估计。
Consider herein the incompressible inviscid magnetohydrodynamics equations in a moving domain with free surface boundary conditions. Without smallness assumption in the fluid volume, a priori estimates for solutions of this model are established when the initial data in H 2.5+ δ (δ> 0) upon the Arbitrary Lagrangian-Eulerian coordinates under the boundary condition p+ 1 2| B| 2= 0. Indeed, this is achieved by reformulating the system into a new formulation with the Arbitrary Lagrangian-Eulerian variables, presenting the uniform estimates for the pressure, the tangential estimates for the system, as well as the curl and divergence estimates.