Rendiconti del Seminario Matematico della Università di Padova


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Volume 129, 2013, pp. 205–224
DOI: 10.4171/RSMUP/129-12

Published online: 2013-05-15

Solution stationnaire de l'équation de coagulation de gouttelettes en chute avec le vent horizontal

Meriem Merad[1], Hanane Belhireche[2] and Hisao Fujita Yashima[3]

(1) Université 8 Mai 1945, Guelma, Algeria
(2) Université 8 Mai 1945, Guelma, Algeria
(3) Università degli Studi di Torino, Italy

We consider the equation which describes the coagulation process of water drops which fall in the air. The equation is considered in a two-dimensional domain and the density of water drops entering the domain is supposed to be given. Under the hypothesis of the constancy of the horizontal wind and some suitable conditions, we prove the existence and the uniqueness of the stationary solution.

Keywords: Integro-differential equations, coagulation of droplets, fall of droplets

Merad Meriem, Belhireche Hanane, Fujita Yashima Hisao: Solution stationnaire de l'équation de coagulation de gouttelettes en chute avec le vent horizontal. Rend. Sem. Mat. Univ. Padova 129 (2013), 205-224. doi: 10.4171/RSMUP/129-12