Stability in the solutions to the self-similar problem of the motion of a flat conducting piston with ionizing shock waves
Abstract
It is assumed that the motion of the piston causes the formation of an ionizing shock wave and that the electrical conductivity of the gas behind this wave is infinite. A numerical investigation of the stability reveals instability in those regions where the values of the parameters are such that there is nonuniqueness in the solution. It is found that decreasing the angle between the intensity vectors of the magnetic field in front of the ionizing wave and the normal to the wave stabilizes the solution.
- Publication:
-
Moskovskii Universitet Vestnik Seriia Matematika Mekhanika
- Pub Date:
- April 1984
- Bibcode:
- 1984MVSMM.......64G
- Keywords:
-
- Electrodynamics;
- Ionizing Radiation;
- Piston Theory;
- Shock Wave Propagation;
- Wave Generation;
- Field Strength;
- Magnetic Fields;
- Numerical Stability;
- Vector Analysis;
- Plasma Physics