Geodesic
The boundary value problem of magnetoporosity arising in the study of a near-wellbore space
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 22 (2019) no. 1, pp. 15-26 
Sh. Kh. Imomnazarov; M. V. Urev. The boundary value problem of magnetoporosity arising in the study of a near-wellbore space. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 22 (2019) no. 1, pp. 15-26. http://geodesic.mathdoc.fr/item/SJVM_2019_22_1_a1/
@article{SJVM_2019_22_1_a1,
     author = {Sh. Kh. Imomnazarov and M. V. Urev},
     title = {The boundary value problem of magnetoporosity arising in the study of a near-wellbore space},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {15--26},
     year = {2019},
     volume = {22},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2019_22_1_a1/}
}
TY  - JOUR
AU  - Sh. Kh. Imomnazarov
AU  - M. V. Urev
TI  - The boundary value problem of magnetoporosity arising in the study of a near-wellbore space
JO  - Sibirskij žurnal vyčislitelʹnoj matematiki
PY  - 2019
SP  - 15
EP  - 26
VL  - 22
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/SJVM_2019_22_1_a1/
LA  - ru
ID  - SJVM_2019_22_1_a1
ER  - 
%0 Journal Article
%A Sh. Kh. Imomnazarov
%A M. V. Urev
%T The boundary value problem of magnetoporosity arising in the study of a near-wellbore space
%J Sibirskij žurnal vyčislitelʹnoj matematiki
%D 2019
%P 15-26
%V 22
%N 1
%U http://geodesic.mathdoc.fr/item/SJVM_2019_22_1_a1/
%G ru
%F SJVM_2019_22_1_a1

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

The existence and uniqueness of the generalized solution of the boundary value problem for the system of magnetoporosity equations in the dissipative approximation have been proved. The results of the numerical solution obtained by the finite element method of the test boundary value problem of magnetoporosity in the frequency domain are presented.

[1] Dorovsky V. N., Imomnazarov Kh. Kh., “A mathematical model for the movement of a conducting liquid through a conducting porous medium”, Mathematical and Computer Modelling, 20 (1994), 91–97 | DOI | MR | Zbl

[2] Dorovsky V. N., Dorovsky S. V., “Elektromagnitoakusticheskiy metod izmereniya elektroprovodnosti i dzeta-potenciala”, Geologiya i geofizika, 50:6 (2009), 735–744

[3] Imomnazarov Sh. Kh., Dorovsky V. N., “Magnitozvukovye kolebaniya v skvazhinnykh usloviyakh, opredelyayushchie elektrokineticheskie parametry poristoy nasyshchennoy sredy”, Materialy XIII Mezhdunar. nauch. kongr. “Interekspo GEO-Sibir'-2017”, Sb. materialov Mezhdunar. nauch. konf. “Distancionnye metody zondirovaniya Zemli i fotogrammetriya, monitoring okruzhayushchey sredy, geoekologiya” (19–21 aprelya 2017 g.), v. 1, SGUGiT, Novosibirsk, 2017, 186–190

[4] Mikhailov V. P., Differencial'nye uravneniya v chastnykh proizvodnykh, Nauka, M., 1983

[5] Oben Zh.-P., Priblizhennoe reshenie ellipticheskikh kraevykh zadach, Mir, M., 1977

[6] McLean W., Strongly Elliptic Systems and Boundary Integral Equations, Cambridge University Press, 2000 | MR | Zbl

[7] Marchuk G. I., Agoshkov V. I., Vvedenie v proekcionno-setochnye metody, Nauka, M., 1981

[8] Mikhlin S. G., Variacionnye metody v matematicheskoy fizike, Nauka, M., 1970