Geodesic
The dynamic system that arises in the problem of the evaporation of a turbulent layer in a homogeneous fluid
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 1, pp. 123-135 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1992_32_1_a9,
     author = {V. N. Grebenev},
     title = {The dynamic system that arises in the problem of the evaporation of a turbulent layer in a homogeneous fluid},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {123--135},
     year = {1992},
     volume = {32},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_1_a9/}
}
TY  - JOUR
AU  - V. N. Grebenev
TI  - The dynamic system that arises in the problem of the evaporation of a turbulent layer in a homogeneous fluid
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1992
SP  - 123
EP  - 135
VL  - 32
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_1_a9/
LA  - ru
ID  - ZVMMF_1992_32_1_a9
ER  - 
%0 Journal Article
%A V. N. Grebenev
%T The dynamic system that arises in the problem of the evaporation of a turbulent layer in a homogeneous fluid
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1992
%P 123-135
%V 32
%N 1
%U http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_1_a9/
%G ru
%F ZVMMF_1992_32_1_a9
V. N. Grebenev. The dynamic system that arises in the problem of the evaporation of a turbulent layer in a homogeneous fluid. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 1, pp. 123-135. http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_1_a9/

[1] Barenblatt G. I., “Rasplyvanie turbulentnogo sloya”, N. E. Kochin i razvitie mekhan., Nauka, M., 1984, 194–201 | MR

[2] Barenblatt G. I., Galerkina N. L., Luneva M. V., “Evolyutsiya vspyshki turbulentnosti”, Inzh.-fiz. zh., 53:5 (1987), 733–740

[3] Vasilev O. F., Kuznetsov B. G., Lytkin Yu. M., Chernykh G. G., “Razvitie oblasti turbulizovannoi zhidkosti v stratifitsirovannoi srede”, Mekhan. zhidkosti i gaza, 1974, no. 3, 46–52

[4] Scholey A. H., “Wake coilaps in a stratified fluid”, Science, 153:3587 (1967), 421–423 | DOI

[5] Samarskii A. A., Galaktionov V. A., Kurdyumov S. P., Mikhailov A. P., Rezhimy s obostreniem v zadachakh dlya kvazilineinykh parabolicheskikh uravnenii, Nauka, M., 1987 | MR

[6] Angenent S., “Analiticity of the interfaces of the porous media equation after the waiting time”, Proc. Amer. Math. Soc., 102:2 (1988), 329–336 | DOI | MR | Zbl

[7] Angenent S., “Local existence and regularity for a class of degenerate parabolic equation”, Math. Ann., 280 (1988), 465–482 | DOI | MR | Zbl

[8] Khenri D., Geometricheskaya teoriya polulineinykh parabolicheskikh uravnenii, Mir, M., 1985 | MR

[9] Diaz J. I. Kersner R., On a nonlinear degenerate parabolic equation in infiltration or evaporation through a porous medium, Techn. Summary Rept. No 2502, Univ. Wisconsin, Math. Res. Center, Madison, 1983 | Zbl

[10] Kalashnikov A. S., “O vliyanii rosta granichnykh dannykh na povedenie temperatury nelineinoi nestatsionarnoi sredy pri bolshikh znacheniyakh vremeni”, Vestn. MGU. Matem., mekhan., 1986, no. 2, 40–45 | MR | Zbl

[11] Knerr B. F., “The behavior of the support of solutions of the equation of nonlinear heat conduction with absorption in one dimension”, Trans. Amer. Math. Soc., 249:2 (1979), 409–424 | DOI | MR | Zbl

[12] Kalashnikov A. S., “O kharaktere rasprostraneniya vozmuschenii v zadachakh nelineinoi teploprovodnosti s pogloscheniem”, Zh. vychisl. matem. i matem. fiz., 14:4 (1974), 891–905 | MR

[13] Amann H., “Quasilinear evolutions and parabolic system”, Trans. Amer. Math. Soc., 249:2 (1979), 191–227 | MR

[14] Herrero M. A., Vazquez J. I., “The one dimensional nonlinear heat equation with absorption: regularity of solutions and interfaces”, SIAM J. Math. Analys., 18:1 (1987), 149–167 | DOI | MR | Zbl

[15] Antontsev S. N., Lokalizatsiya reshenii vyrozhdayuschikhsya uravnenii mekhaniki sploshnoi sredy, In-t gidrodinamiki SO AN SSSR, Novosibirsk, 1986 | MR

[16] Pukhnachev V. V., “Evolyutsionnye uravneniya i lagranzhevy koordinaty”, Dinamika sploshnoi sredy, 70, In-t gidrodinamiki SO AN SSSR, Novosibirsk, 1985, 127–142 | MR

[17] Grebenev V. I., “O razreshimosti zadachi razvitiya oblasti turbulizovannoi odnorodnoi zhidkosti”, Zh. vychisl. matem. i matem. fiz., 30:4 (1990), 616–619 | MR | Zbl

[18] Kruzhkov S. N., “Nelineinye parabolicheskie uravneniya s dvumya nezavisimymi peremennymi”, Tr. Mosk. matem. ob-va, 16, M., 1967, 329–336

[19] Vazquez J. I., “Asymptotic behaviour and propogation properties of the one dimensional flow of gas in a porous medium”, Trans. Amer. Math. Soc., 277:2 (1983), 507–527 | DOI | MR | Zbl

[20] Caffarelli L. A., Friedman A., “Regularity of the free boundary for the one dimensional flow of gas in a porous medium”, Amer. J. Math., 101:6 (1979), 1193–1218 | DOI | MR | Zbl