A new method for solving the boundary value problem in kinetic theory
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 539-552 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2012_52_3_a11,
     author = {A. V. Latyshev and A. A. Yushkanov},
     title = {A new method for solving the boundary value problem in kinetic theory},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {539--552},
     year = {2012},
     volume = {52},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a11/}
}
TY  - JOUR
AU  - A. V. Latyshev
AU  - A. A. Yushkanov
TI  - A new method for solving the boundary value problem in kinetic theory
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2012
SP  - 539
EP  - 552
VL  - 52
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a11/
LA  - ru
ID  - ZVMMF_2012_52_3_a11
ER  - 
%0 Journal Article
%A A. V. Latyshev
%A A. A. Yushkanov
%T A new method for solving the boundary value problem in kinetic theory
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2012
%P 539-552
%V 52
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a11/
%G ru
%F ZVMMF_2012_52_3_a11
A. V. Latyshev; A. A. Yushkanov. A new method for solving the boundary value problem in kinetic theory. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 539-552. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a11/

[1] Ferziger J.H., Kaper H.G., Mathematical theory of transport processes in gases, North-Holland Publishing Company, 1972

[2] Cercignani S., Mathematical Methods in Kinetic Theory, New York Press, 1972

[3] Case K.M., “Elementary solutions of the transport equations and their applications”, Ann. Phys., 9:1 (1960), 1–23 | DOI | MR | Zbl

[4] Cercignani S., “Elementary solutions of the linearized gas-dynamics Boltzmaim equation and their applications to the slip-flow problem”, Ann. Phys., 2:2 (1962), 219–233 | MR

[5] Kriese J.T., Chang T.S., Siewert C.E., “Elementary solutions of coupled model equations in the kinetic theory of gases”, Internat. J. Engng., 12:12 (1974), 441–470 | DOI | MR | Zbl

[6] Cercignani S., “Analytic solution of the temperature jump problem for the BGK model”, Transport Theory and Statist. Physics, 6:1 (1977), 29–56 | DOI | MR | Zbl

[7] Aoki K., Cercignani S., “A technique for time – dependent boundary value problems in the kinetix theory of gases. Part I. Basic analysis”, J. Appl. Math. Phys., 35:2 (1984), 127–143 | DOI | MR | Zbl

[8] Latyshev A.V., “Primenenie metoda Keiza k resheniyu linearizovannogo kineticheskogo BGK uravneniya v zadache o temperaturnom skachke”, Prikl. matem. i mekhan., 54:4 (1990), 581–586 | MR | Zbl

[9] Latyshev A.V., Yushkanov A.A., “Analiticheskoe reshenie odnomernoi zadachi ob umerenno silnom isparenii (kondensatsii) v poluprostranstve”, Zh. prikl. mekh. i tekhn. fiziki, 34:1 (1993), 102–106 | MR

[10] Latyshev A.V., Yushkanov A.A., “Analiticheskoe reshenie zadachi o silnom isparenii (kondensatsii)”, Izvestiya RAN. Ser. MZhG, 1993, no. 6, 143–155 | MR | Zbl

[11] Arthur M.D., Cercignani S., “Non-existence of a steady rarefied supersonic flow in a half-space”, J. Appl. Math. Phys., 31:31 (1980), 634–645 | MR | Zbl

[12] Cassell J.S., Williams M.M.R., “An exact solution of the temperature slip problem in rarefied gases”, Transport Theory and Statist. Physics, 2:1 (1972), 81–90 | DOI

[13] Latyshev A.V., Yushkanov A.A., “Granichnye zadachi dlya modelnogo uravneniya Boltsmana s chastotoi stolknovenii, proportsionalnoi skorosti molekul”, Izv. RAN. Ser. MZhG, 1996, no. 3, 140–153 | MR

[14] Latyshev A.V., “Analiticheskoe reshenie zadach skolzheniya binarnogo gaza”, Teop. i matem. fiz., 86:3 (1991), 402–419 | MR

[15] Latyshev A.V., Yushkhanov A.A., “Teoriya i tochnye resheniya zadach skolzheniya binarnogo gaza vdol ploskoi poverkhnosti”, Zh. vychisl. matem. i matem. fiz., 31:8 (1991), 1201–1210 | MR

[16] Latyshev A.V., Yushkanov A.A., “Zadacha Kramersa dlya ellipsoidalno-statisticheskogo uravneniya Boltsmana s chastotoi, proportsionalnoi skorosti molekul”, Zh. vychisl. matem i matem. fiz., 37:4 (1997), 483–493 | MR | Zbl

[17] Latyshev A.V., Yushkanov A.A., “Analiticheskoe reshenie zadach skolzheniya s ispolzovaniem novogo kineticheskogo uravneniya”, Pisma v zh. tekhn. fiz., 26:23 (2000), 16–23

[18] Latyshev A.V., Yushkanov A.A., “Akkomodatsionnye dvukhmomentnye granichnye usloviya v zadachakh o teplovom i izotermicheskom skolzheniyakh”, Inzhenerno-fiz. zh., 74:3 (2001), 63–69 | MR

[19] Latyshev A.V., Yushkanov A.A., “Momentnye granichnye usloviya v zadachakh skolzheniya razrezhennogo gaza”, Izv. RAN. Ser. MZhG, 2004, no. 2, 193–208 | MR | Zbl

[20] Latyshev A.V., Yushkanov A.A., “Granichnye zadachi dlya kvantovogo fermi-gaza”, Teor. i matem. fiz., 129:3 (2001), 491–502 | MR | Zbl

[21] Latyshev A.V., Yushkanov A.A., “Granichnye zadachi dlya kvantovogo boze-gaza”, Izvestiya vuzov. Ser. Fizika, 2002, no. 6, 51–56 | MR | Zbl

[22] Latyshev A.V., Yushkanov A.A., “Metod resheniya granichnykh zadach dlya kineticheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 44 (2004), 1107–1118 | MR | Zbl

[23] Latyshev A.V., Yushkanov A.A., “Metod singulyarnykh integralnykh uravnenii v granichnykh zadachakh kineticheskoi teorii”, Teor. i matem. fiz., 143(4):3 (2005), 437–454 | MR | Zbl

[24] Latyshev A.V., Yushkanov A.A., “Elektricheskoe pole v zadache Smolukhovskogo v metalle s proizvolnym koeffitsientom zerkalnosti”, Zh. vychisl. matem i matem. fiz., 50:3 (2010), 503–516 | MR | Zbl

[25] Latyshev A.V., Yushkanov A.A., “Temperaturnyi skachok v vyrozhdennykh kvantovykh gazakh pri nalichii kondensata Boze–Enshteina”, Teor. i matem. fiz., 162:1 (2010), 95–105 | MR | Zbl