Similarity solutions of cylindrical shock waves in non-ideal magnetogasdynamics with thermal radiation. (English) Zbl 1418.35266
The authors consider 1D unsteady flow of non-ideal gas in a magnetic field and study their symmetries. The problem is cylindrically symmetric and reduced to the one space dimension. Assuming that the solution is invariant under some Lie group, this solution is obtained by reducing the partial differential equations to a nonlinear system of ordinary ones.
Reviewer: Ilya A. Chernov (Petrozavodsk)
MSC:
| 35L67 | Shocks and singularities for hyperbolic equations |
| 35L65 | Hyperbolic conservation laws |
| 76L05 | Shock waves and blast waves in fluid mechanics |
| 35Q31 | Euler equations |
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
| 35B06 | Symmetries, invariants, etc. in context of PDEs |
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