Geodesic
Global solvability of the Cauchy problem for system describing one- dimensional flow of general gas without viscosity and heat conductivity
Matematičeskoe modelirovanie, Tome 8 (1996) no. 8, pp. 51-68.

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The one dimentional gas dynamics system for normal gas without condition convexity of state equation (consisting of mass, impuls and energy conservation laws) is considered. The global existence theorem of functional solution is proved for Cauchy problem in this case. The initial date are functions wich arbitrary amplitude. 
@article{MM_1996_8_8_a4,
     author = {V. A. Tupchiev},
     title = {Global solvability of the {Cauchy} problem for system describing one- dimensional flow of general gas without viscosity and heat conductivity},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {51--68},
     publisher = {mathdoc},
     volume = {8},
     number = {8},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1996_8_8_a4/}
}
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V. A. Tupchiev. Global solvability of the Cauchy problem for system describing one- dimensional flow of general gas without viscosity and heat conductivity. Matematičeskoe modelirovanie, Tome 8 (1996) no. 8, pp. 51-68. http://geodesic.mathdoc.fr/item/MM_1996_8_8_a4/