Display Abstract

Title On coagulation-fragmentation models

Name Klemens Fellner
Country Austria
Email Klemens.Fellner@uni-graz.at
Co-Author(s) J. A. Canizo, J. A. Carrillo, L. Desvillettes
Submit Time 2014-02-12 10:57:37
Session
Special Session 65: Kinetic equations: Theory and applications
Contents
We consider existence, large-time behaviour and fast-reaction limits of coagulation-fragmentation models with spatial diffusion. As continuous-in-size model, we study Smoluchowski's equation with constant coefficients. Discrete-in-size models are considered with more general coefficients. The diffusion coefficients are allowed to degenerate in size. The main techniques include a-priori estimates based on the dissipation of an entropy functional, entropy entropy-dissipation methods, moment bounds and duality methods.