| 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 illposed
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 incompressible
Euler system. |
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