We consider the integro-di erential equation describing the coagulation processus of water drops falling in the air in a three-dimensional domain with presence of a horizontal wind. Under suitable hypothesis and some conditions we prove the existence of the stationary solution and then the global solution using the techniques developed in [10] and [2].
Classification :
35, 76
Mots-clés : Equation of air motion, integro-differential equation, global solution
Mots-clés : Equation of air motion, integro-differential equation, global solution
Affiliations des auteurs :
Belhireche, Hanane 1 ;
Aissaoui, Mohamed Zine 1 ;
Ellaggoune, Fateh 1
@article{RSMUP_2016__135__63_0, author = {Belhireche, Hanane and Aissaoui, Mohamed Zine and Ellaggoune, Fateh}, title = {Solution globale de l{\textquoteright}\'equation de coagulation des gouttelettes en chute avec le vent horizontal}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {63--89}, publisher = {European Mathematical Society Publishing House}, address = {Zuerich, Switzerland}, volume = {135}, year = {2016}, doi = {10.4171/RSMUP/135-4}, url = {http://archive.numdam.org/articles/10.4171/RSMUP/135-4/} }
TY - JOUR AU - Belhireche, Hanane AU - Aissaoui, Mohamed Zine AU - Ellaggoune, Fateh TI - Solution globale de l’équation de coagulation des gouttelettes en chute avec le vent horizontal JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2016 SP - 63 EP - 89 VL - 135 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://archive.numdam.org/articles/10.4171/RSMUP/135-4/ DO - 10.4171/RSMUP/135-4 ID - RSMUP_2016__135__63_0 ER -
%0 Journal Article %A Belhireche, Hanane %A Aissaoui, Mohamed Zine %A Ellaggoune, Fateh %T Solution globale de l’équation de coagulation des gouttelettes en chute avec le vent horizontal %J Rendiconti del Seminario Matematico della Università di Padova %D 2016 %P 63-89 %V 135 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://archive.numdam.org/articles/10.4171/RSMUP/135-4/ %R 10.4171/RSMUP/135-4 %F RSMUP_2016__135__63_0
Belhireche, Hanane; Aissaoui, Mohamed Zine; Ellaggoune, Fateh. Solution globale de l’équation de coagulation des gouttelettes en chute avec le vent horizontal. Rendiconti del Seminario Matematico della Università di Padova, Tome 135 (2016), pp. 63-89. doi : 10.4171/RSMUP/135-4. http://archive.numdam.org/articles/10.4171/RSMUP/135-4/
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