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math.AP2011
Mean field propagation of infinite dimensional Wigner measures with a singular two-body interaction potential
Zied Ammari, Francis Nier
We consider the quantum dynamics of many bosons systems in the mean field limit with a singular pair-interaction potential, including the attractive or repulsive Coulombic case in…
math.AP2011
Singularity \& Regularity Issues for Simplified Models of Turbulence
Hani Ali, Zied Ammari
We consider a family of Leray- models with periodic boundary conditions in three space dimensions. Such models are a regularization, with respect to a parameter , of the Navi…