Geodesic
Global solvability of the Cauchy problem for system describing one-dimensional plasma flow
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 4, pp. 1141-1164.

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The system describing one-dimensional flow of ionized gas is considered. The global existence theorem of functional solution is proved for Cauchy problem in this case. The initial data are functions with an arbitrary amplitude. 
@article{FPM_1998_4_4_a1,
     author = {A. V. Gichuk and V. A. Tupchiev},
     title = {Global solvability of the {Cauchy} problem for system describing one-dimensional plasma flow},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1141--1164},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a1/}
}
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A. V. Gichuk; V. A. Tupchiev. Global solvability of the Cauchy problem for system describing one-dimensional plasma flow. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 4, pp. 1141-1164. http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a1/