Geodesic
About some solutions of the equation moving continuous medium with spacial thermodynamics
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 317-332 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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},
     year = {2011},
     volume = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2011_8_a26/}
}
TY  - JOUR
AU  - M. V. Neshchadim
AU  - A. P. Chupakhin
TI  - About some solutions of the equation moving continuous medium with spacial thermodynamics
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2011
SP  - 317
EP  - 332
VL  - 8
UR  - http://geodesic.mathdoc.fr/item/SEMR_2011_8_a26/
LA  - ru
ID  - SEMR_2011_8_a26
ER  - 
%0 Journal Article
%A M. V. Neshchadim
%A A. P. Chupakhin
%T About some solutions of the equation moving continuous medium with spacial thermodynamics
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2011
%P 317-332
%V 8
%U http://geodesic.mathdoc.fr/item/SEMR_2011_8_a26/
%G ru
%F SEMR_2011_8_a26
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/

[1] Kh. Diikstra, Nelineinaya fizicheskaya okeanografiya, NITs «Regulyarnaya i khaoticheskaya dinamika», In-t kompyuternykh issledovanii, M., Izhevsk, 2007, 680 pp.

[2] L.V. Ovsyannikov, “O «prostykh» resheniyakh uravnenii dinamiki politropnogo gaza”, PMTF, 40:2 (1999), 5–12 | MR | Zbl

[3] L.V. Ovsyannikov, “Nekotorye itogi vypolneniya programmy PODMODELI dlya uravnenii gazovoi dinamiki”, PMM, 63:3 (1999), 362–372 | MR | Zbl

[4] L.V. Ovsyannikov, Lektsii po gazovoi dinamike, NITs «Regulyarnaya i khaoticheskaya dinamika», In-t kompyuternykh issledovanii, M., Izhevsk, 2003, 336 pp.

[5] A.N. Tikhonov, A.A. Samarskii, Uravneniya matematicheskoi fiziki, Nauka, M., 2004, 798 pp.

[6] I. Sneddon, Preobrazovaniya Fure, IL, M., 1955, 668 pp.

[7] S.P. Finikov, Metod vneshnikh form Kartana, GIITL, M.–L., 1948, 432 pp. | MR

[8] Zh. Pommare, Sistemy uravnenii s chastnymi proizvodnymi i psevdogruppy Li, Mir, M., 1983, 398 pp. | MR | Zbl