Geodesic
On the approach to modelling of the mass transfer in river-bed stream
Matematičeskoe modelirovanie, Tome 21 (2009) no. 2, pp. 14-28.

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

The approach to deriving mathematical models of the passive matter diffusion transport in slow and smooth natural streams of viscous fluid is considered. This technique had been used in 2D models previously and now it is applied to 3D case. The arrangement of the reduced mathematical models is proposed. One of them – the model of a super-shallow and lengthy stream has been studying as an example. 
@article{MM_2009_21_2_a1,
     author = {K. A. Nadolin},
     title = {On the approach to modelling of the mass transfer in river-bed stream},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {14--28},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2009_21_2_a1/}
}
TY  - JOUR
AU  - K. A. Nadolin
TI  - On the approach to modelling of the mass transfer in river-bed stream
JO  - Matematičeskoe modelirovanie
PY  - 2009
SP  - 14
EP  - 28
VL  - 21
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2009_21_2_a1/
LA  - ru
ID  - MM_2009_21_2_a1
ER  - 
%0 Journal Article
%A K. A. Nadolin
%T On the approach to modelling of the mass transfer in river-bed stream
%J Matematičeskoe modelirovanie
%D 2009
%P 14-28
%V 21
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2009_21_2_a1/
%G ru
%F MM_2009_21_2_a1
K. A. Nadolin. On the approach to modelling of the mass transfer in river-bed stream. Matematičeskoe modelirovanie, Tome 21 (2009) no. 2, pp. 14-28. http://geodesic.mathdoc.fr/item/MM_2009_21_2_a1/

[1] Kartvelishvili N. A., Potoki v nedeformiruemykh ruslakh, Gidrometeoizdat, L., 1973, 280 pp.

[2] Bochev M. A., Nadolin K. A., Nikolaev I. A., “Modelirovanie rasprostraneniya veschestva v dvumernom statsionarnom otkrytom ruslovom potoke”, Mat. modelir., 8:1 (1996), 11–24 | Zbl

[3] Babayan A. V., Nadolin K. A., “O modelirovanii rasprostraneniya veschestva v ploskom statsionarnom potoke vyazkoi zhidkosti”, Vodnye resursy, 21:2 (2000), 184–191

[4] Babayan A. V., Nadolin K. A., “O modelirovanii teilorovskoi dispersii v trube peremennogo secheniya”, Izv. vuzov. Sev.-Kav. region. Estestvennye nauki, 2001, no. 3, 27–29

[5] Rodi V., Modeli turbulentnosti okruzhayuschei sredy. Metody rascheta turbulentnykh techenii, Mir, M., 1984, 464 pp.

[6] Monin A. S., Yaglom A. M., Statisticheskaya gidromekhanika, T. 1, Gidrometeoizdat, SPb., 1992, 694 pp.

[7] Pukhnachev V. V., Dvizhenie vyazkoi zhidkosti so svobodnymi granitsami, NGU, Novosibirsk, 1989, 96 pp. | MR

[8] Nadolin K. A., “O chislennom reshenii nachalno-kraevoi zadachi dlya odnogo parabolicheskogo v shirokom smysle uravneniya”, Izv. vuzov. Elektromekhanika, Matematicheskie metody v fizike, tekhnike i ekonomike (2007), 16–25