IUMJ

Title: Dissipativity and Gevrey regularity of a Smoluchowski equation

Authors: Peter Constantin, Edriss Titi and Jesenko Vukadinovic

Issue: Volume 54 (2005), Issue 4, 949-970

Abstract:

We investigate a Smoluchowski equation (a nonlinear Fokker-Planck equation on the unit sphere), which arises in modeling of colloidal suspensions. We prove the dissipativity of the equation in 2D and 3D, in certain Gevrey classes of analytic functions.