Title: Turbulence Enhancement in Kinetic Coagulation Equations

Abstract: A Smoluchowski type model of coagulation in a turbulent fluid is given, heuristically expressed by means of a stochastic model of a system of second-order (microscopic) coagulating particles, then in a suitable scaling limit as a deterministic model with enhanced diffusion in the velocity component. Existence, uniqueness and regularity is proven under different initial conditions in suitable weighted spaces for the spatially-homogeneous PDE. A precise link between mean intensity of the turbulent velocity field and coagulation enhancement is obtained by numerical simulations.

Based on joint works with Franco Flandoli and Ruojun Huang.