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arXiv · 1903.02039

On global-in-time weak solutions to the magnetohydrodynamic system of compressible inviscid fluids

Eduard Feireisl·Yang Li
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Abstract

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 to the Euler system with `variable coefficients'.

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Eduard Feireisl, Yang Li. 2019-03-05. On global-in-time weak solutions to the magnetohydrodynamic system of compressible inviscid fluids. https://doi.org/10.1088/1361-6544%2Fab4c8e

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