论文标题
关于全球较弱的解决方案，用于2D完全可压缩的非抗性MHD系统
On global-in-time weak solutions to a 2D full compressible non-resistive MHD system
论文作者
论文摘要
在本文中，我们考虑了一个二维非耐药性磁流失动力学模型，考虑了绝对温度的波动。 Feireisl等人结合了狮子[20]开发的弱收敛方法。 [7，8]来自可压缩的Navier-Stokes（ - 傅立叶）系统和Vasseur等人提出的可变还原的新技术。 [26]，由Novotny等人精制。 [22]从可压缩的两流体模型中，较弱的解决方案在全球范围内与有限的能量初始数据一起存在。结果是第一个关于全球可溶解性，可在具有较大初始数据的多维中完全可压缩，粘性，非抗性磁流体动力系统。
In this paper, we consider a two-dimensional non-resistive magnetohydrodynamic model, taking the fluctuation of absolute temperature into account. Combining the method of weak convergence developed by Lions [20], Feireisl et al. [7, 8] from compressible Navier-Stokes(- Fourier) system and the new technique of variable reduction proposed by Vasseur et al. [26] and refined by Novotny et al. [22] from compressible two-fluid models, weak solutions are shown to exist globally in time with finite energy initial data. The result is the first one on global solvability to full compressible, viscous, non-resistive magnetohydrodynamic system in multi-dimensions with large initial data.
