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. Cette-thèse-concerne-le-développement, application d'une formulation stochastique des équations de la mécanique des fluides introduite par Mémin La vitesse petite échelle, non-résolue, est modélisée au moyen d'un champ aléatoire décorrélé en temps. Cela modifie l'expression de la dérivée particulaire et donc les équations de la mécanique des fluides. Les modèles qui en découlent sont dénommés modèles sous incertitude de position. La thèse s'articule autour de l'étude successive de modèles réduits, de versions stochastiques du transport et de l'advection à temps long d'un, 2014.