A Radon transfer processes in fracttional structure medium
Matematičeskoe modelirovanie, Tome 21 (2009) no. 8, pp. 30-36.

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

The model of the radon flowing from rocks with fractional properties in the atmosphere near the surface is offered. The modes of superdiffusion and anomalous advection are considered. They analytical decisions are received and are compared with results the classical model. Peculiarities of changing of the modes transfer are discussed.
@article{MM_2009_21_8_a2,
     author = {R. I. Parovik and B. M. Shevtsov},
     title = {A {Radon} transfer processes in fracttional structure medium},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {30--36},
     publisher = {mathdoc},
     volume = {21},
     number = {8},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2009_21_8_a2/}
}
TY  - JOUR
AU  - R. I. Parovik
AU  - B. M. Shevtsov
TI  - A Radon transfer processes in fracttional structure medium
JO  - Matematičeskoe modelirovanie
PY  - 2009
SP  - 30
EP  - 36
VL  - 21
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2009_21_8_a2/
LA  - ru
ID  - MM_2009_21_8_a2
ER  - 
%0 Journal Article
%A R. I. Parovik
%A B. M. Shevtsov
%T A Radon transfer processes in fracttional structure medium
%J Matematičeskoe modelirovanie
%D 2009
%P 30-36
%V 21
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2009_21_8_a2/
%G ru
%F MM_2009_21_8_a2
R. I. Parovik; B. M. Shevtsov. A Radon transfer processes in fracttional structure medium. Matematičeskoe modelirovanie, Tome 21 (2009) no. 8, pp. 30-36. http://geodesic.mathdoc.fr/item/MM_2009_21_8_a2/

[1] Grammakov A. G., Nikonov A. I., Tarfeev G. P., Radiometricheskie metody poiskov i razvedki uranovykh rud, Gosgeoltekhizdat, M., 1957, 610 pp.

[2] Bulashevich Yu. P., Khairetdinov R. K., “K teorii diffuzii emanatsii v poristykh sredakh”, Izvestiya AN SSSR. Seriya geofizicheskaya, 1959, no. 12, 1787–1792

[3] Novikov G. F., Kapkov Yu. N., Radioaktivnye metody razvedki, Nedra, M., 1965, 750 pp.

[4] Parovik R. I., Ilin I. A., Firstov P. P., “Obobschennaya odnomernaya model massoperenosa radona $^{222}\mathrm{Rn}$ i ego ekskhalyatsiya v prizemnyi sloi atmosfery”, Matematicheskoe modelirovanie, 19:11 (2007), 43–50 | Zbl

[5] Tarasevich Yu. Yu., Perkolyatsiya: teoriya, prilozheniya, algoritmy, Editorial URSS, M., 2002, 112 pp.

[6] Krylov S. S., Bobrov N. Yu., Fraktaly v geofizike, Izdatelstvo S.-Peterburgskogo universiteta, SPb., 2004, 138 pp.

[7] Moskalev P. V., Shitov V. V., Matematicheskoe modelirovanie poristykh struktur, Fizmatlit, M., 2007, 120 pp.

[8] Serbina L. I., Nelokalnye matematicheskie modeli perenosa v vodonosnykh sistemakh, Nauka, M., 2007, 167 pp. | Zbl

[9] Nakhusheva V. A., Differentsialnye uravneniya matematicheskikh modelei nelokalnykh protsessov, Nauka, M., 2006, 173 pp. | MR | Zbl

[10] Dranikov I. L., Anomalnaya diffuziya v prostykh fizicheskikh modelyakh, avtoref. dis. kandidata fiziko-matematicheskikh nauk, IPBRAE, M., 2007, 25 pp.

[11] Bolshov L. A., Dykhne A. M., Kondratenko T. S., “Anomalnaya diffuziya i fluktuatsionnye effekty v silno neuporyadochennykh sredakh”, Pisma v ZhETF, 75:5/6 (2002), 291–293

[12] Potapov A. A., Fraktaly v radiofizike i radiolokatsii. Topologiya vyborki, Universitetskaya kniga, M., 2005, 848 pp.

[13] Nakhushev A. M., Drobnoe ischislenie i ego primenenie, Fizmatlit, M., 2003, 272 pp. | Zbl

[14] Pskhu A. V., Uravneniya v chastnykh proizvodnykh drobnogo poryadka, Nauka, M., 2005, 199 pp. | MR | Zbl

[15] Kilbas A. A., Srivastava H. M., Trujillo J. J., Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam, 2006, 523 pp. | MR | Zbl

[16] Klyatskin V. I., Diffuziya i klasterizatsiya passivnoi primesi v sluchainykh gidrodinamicheskikh potokakh, Fizmatlit, M., 2005, 160 pp. | MR | Zbl

[17] Utkin S. G., Statistika i kinematika anomalno-diffuzionnykh protsessov, dis. kandidata fiziko-matematicheskikh nauk, NGU, Nizhnii Novgorod, 2005, 127 pp.

[18] Uchaikin V. V., “Avtomodelnaya anomalnaya diffuziya i ustoichivye zakony”, Uspekhi fizicheskikh nauk, 173:8 (2003), 847–876 | DOI

[19] Zaslavsky G. M., “Chaos, fractional kinetics, and anomalous transport”, Physics Reports, 371 (2002), 461–580 | DOI | MR | Zbl

[20] Metzler R., Klafter J., “The random walk`s guide to anomalous diffusion: a fractional dynamics approach”, Physics Reports, 339 (2000), 1–77 | DOI | MR | Zbl

[21] Dzhrbashyan M. M., Integralnye preobrazovaniya i predstavleniya funktsii v kompleksnoi oblasti, Nauka, M., 1966, 672 pp. | Zbl