Turbulence Enhancement in Kinetic Coagulation Equations – Andrea Papini (Scuola Normale Superiore Pisa)


Aula Seminari


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.

Torna in cima