On global-in-time weak solutions to the magnetohydrodynamic system of compressible inviscid fluids
On global-in-time weak solutions to the magnetohydrodynamic system of compressible inviscid fluids
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DOI：
10.1088/1361-6544/ab4c8e
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发表时间：
2019-03
期刊：
影响因子：
1.7
通讯作者：
E. Feireisl;Yang Li
中科院分区：
文献类型：
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作者：
E. Feireisl;Yang Li
研究了无粘可压缩流体在磁场相互作用下的运动。我们发现，初值问题是不适定的一类弱解的一大类物理上允许的数据。我们也考虑了同样的问题，为无粘导热流体，并显示相同的结果施加在磁场的某些限制。主要工具是凸积分法，适用于“变系数”欧拉系统。
We consider the motion of an inviscid compressible fluid under the mutual interactions with magnetic field. We show that the initial value problem is ill-posed in the class of weak solutions for a large class of physically admissible data. We also consider the same problem for inviscid heat-conductive fluid and show the same result under certain restrictions imposed on the magnetic field. The main tool is the method of convex integration adapted from the Euler system with ‘variable coefficients’.