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Energy conservation for the weak solutions to the 3D compressible magnetohydrodynamic equations of viscous non-resistive fluids in a bounded domain
Nonlinear Analysis: Real World Applications ( IF 1.8 ) Pub Date : 2021-05-27 , DOI: 10.1016/j.nonrwa.2021.103359
Xiong Wang , Sili Liu

In this paper, inspired by the work of Chen–Liang–Wang–Xu (Chen et al., 2020) on compressible Navier–Stokes equations, we obtain the energy conservation for weak solutions of the compressible non-resistive magnetohydrodynamic flows in a bounded domain ΩR3. To ensure the energy conservation, we need the same regularity conditions of density and velocity as in Chen et al. (2020), moreover, HLt4Lx4 and HLtp1Lxq1, where p1=4p3p4, q1=4q3q4. Under these conditions, p1(43,2], q1(43,127] when p4 and q6.



中文翻译:

有界域中粘性非电阻流体的 3D 可压缩磁流体动力学方程弱解的能量守恒

在本文中,受到 Chen-Liang-Wang-Xu (Chen et al., 2020) 关于可压缩 Navier-Stokes 方程的工作的启发,我们获得了有界可压缩非电阻磁流体动力流动弱解的能量守恒领域 Ω电阻3. 为了确保能量守恒,我们需要与 Chen 等人相同的密度和速度的规律性条件。(2020) 此外,H4X4H1个Xq1个, 在哪里 1个=43-4, q1个=4q3q-4. 在这些条件下,1个(43,2], q1个(43,127] 什么时候 4q6.

更新日期:2021-05-28
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