Geodesic
About one non - local border problem
News of the Kabardin-Balkar scientific center of RAS, no. 6 (2012), pp. 5-13.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this work a non-local border problem for the equation of moisture transportation is considered. Aprioristic estimations in differential and incremental treatments are received for the solution of non-local border problem. Uniqueness, stability of the decision of a problem, and also convergence of the decision of the difference problems to the decision of a differential problem follow from the estimations obtained.
Keywords: regional problems, equation of moisture transfer, difference scheme, stability and convergence of difference schemes
Mots-clés : non local condition, aprioristic estimation, pseudo-parabolic equation. 
@article{IZKAB_2012_6_a0,
     author = {M. KH. Beshtokov},
     title = {About one non - local border problem},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {5--13},
     publisher = {mathdoc},
     number = {6},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2012_6_a0/}
}
TY  - JOUR
AU  - M. KH. Beshtokov
TI  - About one non - local border problem
JO  - News of the Kabardin-Balkar scientific center of RAS
PY  - 2012
SP  - 5
EP  - 13
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IZKAB_2012_6_a0/
LA  - ru
ID  - IZKAB_2012_6_a0
ER  - 
%0 Journal Article
%A M. KH. Beshtokov
%T About one non - local border problem
%J News of the Kabardin-Balkar scientific center of RAS
%D 2012
%P 5-13
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IZKAB_2012_6_a0/
%G ru
%F IZKAB_2012_6_a0
M. KH. Beshtokov. About one non - local border problem. News of the Kabardin-Balkar scientific center of RAS, no. 6 (2012), pp. 5-13. http://geodesic.mathdoc.fr/item/IZKAB_2012_6_a0/

[1] G. I. Barenblat, Yu. P. Zheltov, I. N. Kochina, “Ob osnovnykh predstavleniyakh teorii filtratsii odnorodnykh zhidkostei v treschinovatykh porodakh”, Prikladnaya matematika i mekhanika, 25:5 (1960), 852–864

[2] E. S. Dzektser, “Uravneniya dvizheniya podzemnykh vod so svobodnoi poverkhnostyu v mnogosloinykh sredakh”, DAN SSSR, 220:3 (1975), 540–543 | Zbl

[3] L. I. Rubinshtein, “K voprosu o protsesse rasprostraneniya tepla v geterogennykh sredakh”, Izvestiya AN SSSR. Ser. geogr, 12:1 (1948), 27–45 | MR

[4] T. Ting, A. Cooling, “Process According to Two Temperature theory of heat Conduction”, J. Math. Anal. Appl, 1974, no. 9 | MR

[5] M. Hallaire, “L'eau et la production vegetable”, Institut National de la Recherche Agronomique, 1964, no. 9

[6] A. F. Chudnovskii, Teplofizika pochv, Nauka, M., 1976, 352 pp.

[7] A. I. Kozhanov, “Ob odnoi nelokalnoi kraevoi zadache s peremennymi koeffitsien tami dlya uravnenii teploprovodnosti i Allera”, DU, 40:6 (2004), 763–774 | MR | Zbl

[8] A. F. Chudnovskii, “Nekotorye korrektivy v postanovke i reshenii zadach teplo- i vlagoperenosa v pochve”, Sbornik trudov po agrofizike, v. 23, Gidrometeoizdat, 1969

[9] O. A. Ladyzhenskaya, Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973, 407 pp. | MR

[10] A. A. Samarskii, A. V. Gulin, Ustoichivost raznostnykh skhem, Nauka, M., 1973, 416 pp. | MR

[11] A. A. Samarskii, “Odnorodnye raznostnye skhemy na neravnomernykh setkakh dlya urav nenii parabolicheskogo tipa”, ZhVM i MF, 3:2 (1963), 266–298