Geodesic
On stability of regular solutions of one-dimensional $z$-pinch dynamic problem
Matematičeskoe modelirovanie, Tome 8 (1996) no. 5, pp. 106-112.

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Mathematical model of processes in $z$-pinch sharp pressed and rarefied plasma is investigated. We analyzed stability of corresponding one-dimensional self-similar solutions and obtain that one-dimensional compression is stable. 
@article{MM_1996_8_5_a7,
     author = {V. I. Kosarev and A. I. Lobanov},
     title = {On stability of regular solutions of one-dimensional $z$-pinch dynamic problem},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {106--112},
     publisher = {mathdoc},
     volume = {8},
     number = {5},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1996_8_5_a7/}
}
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V. I. Kosarev; A. I. Lobanov. On stability of regular solutions of one-dimensional $z$-pinch dynamic problem. Matematičeskoe modelirovanie, Tome 8 (1996) no. 5, pp. 106-112. http://geodesic.mathdoc.fr/item/MM_1996_8_5_a7/