Geodesic
About some solutions of the equation moving continuous medium with spacial thermodynamics
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 317-332

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We consider the system of differential equations describing motions of continuum media for which all thermodynamics functions are invariant along trajectories of particles. It is proved that for two dimensional case this system are partially linearized by special Lagrange coordinates. We find and investigate some classes of exact solutions and derive scheme of reduction this system to involution.
Keywords: equations of heat moving gas, over determined systems, reduction to involution
Mots-clés : singular solutions. 
@article{SEMR_2011_8_a26,
     author = {M. V. Neshchadim and A. P. Chupakhin},
     title = {About some solutions of the equation moving continuous medium with spacial thermodynamics},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {317--332},
     publisher = {mathdoc},
     volume = {8},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2011_8_a26/}
}
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M. V. Neshchadim; A. P. Chupakhin. About some solutions of the equation moving continuous medium with spacial thermodynamics. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 317-332. http://geodesic.mathdoc.fr/item/SEMR_2011_8_a26/