Geodesic
On one model of the micro-meteorology regime dynamics during irrigation
Matematičeskoe modelirovanie, Tome 14 (2002) no. 4, pp. 67-79 
L. I. Serbina. On one model of the micro-meteorology regime dynamics during irrigation. Matematičeskoe modelirovanie, Tome 14 (2002) no. 4, pp. 67-79. http://geodesic.mathdoc.fr/item/MM_2002_14_4_a5/
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     title = {On one model of the micro-meteorology regime dynamics during irrigation},
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     url = {http://geodesic.mathdoc.fr/item/MM_2002_14_4_a5/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Qualitative analysis of mathematical simulation of the changes of micro-meteorology regime during land irrigation is performed. The author proves the proportionality of the turbulent flow to the fractional derivative (in the sense of Riemann–Liouville) from specific humidity on active surface. Meteorology elements are represented through Mittag–Leffleure function. Effective formulae of the irrigation regime estimation are proposed.

[1] D. P. Laikhtman, Fizika pogranichnogo sloya atmosfery, Gidrometeorologicheskoe izd-vo, L., 1970

[2] Qeuvres de Maurice Guvrea, Paris, 1970

[3] A. M. Nakhushev, Uravneniya matematicheskoi biologii, Vysshaya shkola, M., 1995 | Zbl

[4] A. M. Nakhushev, Ob uravneniyakh sostoyaniya nepreryvnykh odnomernykh sistem i ikh prilozheniyakh, Logos, Nalchik, 1995

[5] M. M. Dzhrbashyan, Integralnye preobrazovaniya i predstavleniya funktsii v kompleksnoi oblasti, Nauka, M., 1966