Nonequilibrium Interface Dynamics:
Fundamental Physical Issues in Nonequilibrium Interface Dynamics

CSIC Building (#406), Seminar Room 4122.
Directions: www.cscamm.umd.edu/directions

Smoluchowski Ripening and Burgers Turbulence

Dr. Robert Pego

Department of Mathematics, University of Maryland

Abstract:   Smoluchowski's coagulation equation is a fundamental mean-field model for the agglomeration of clusters. I'll describe results obtained recently with Govind Menon classifying all domains of attraction in dynamic scaling, for the `solvable' rate kernels 2, x+y, and xy. Via work of J. Bertoin, we also obtain a complete classification of universality classes for dynamic scaling of shock size distributions in Burgers turbulence, for initial velocity that is random with stationary, independent increments with no positive jumps.