Geodesic
Self-similar and numerical solutions of MHD-equations with non-linear bulk sources and sinks
Matematičeskoe modelirovanie, Tome 5 (1993) no. 2, pp. 25-41.

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The influence of non-linear bulk sources and sinks of mass and energy upon non-stationary flow of gas in a magnetic field is studied. The qualitative analysis is carried out with the aid of self-similar solutions. Different models of sources and sinks (when either energy or enthalpy is carried away) are used. The dynamics of compressing and heating plasma in the $\theta$-pinch is investigated, when butt-end losses are taken into account. Qualitative regularities of the process are established. 
@article{MM_1993_5_2_a2,
     author = {P. P. Volosevich and M. A. Kornilina and E. I. Levanov and G. V. Edgibiya},
     title = {Self-similar and numerical solutions of {MHD-equations} with non-linear bulk sources and sinks},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {25--41},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1993_5_2_a2/}
}
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P. P. Volosevich; M. A. Kornilina; E. I. Levanov; G. V. Edgibiya. Self-similar and numerical solutions of MHD-equations with non-linear bulk sources and sinks. Matematičeskoe modelirovanie, Tome 5 (1993) no. 2, pp. 25-41. http://geodesic.mathdoc.fr/item/MM_1993_5_2_a2/