Dissipativity and Gevrey regularity of a Smoluchowski equation
Peter Constantin, Edriss Saleh Titi, Jesenko Vukadinović · Indiana University Mathematics Journal · 2005
We investigate a Smoluchowski equation (a nonlinear Fokker-Planck equation on the unit sphere), which arises in modeling of col-loidal suspensions. We prove the dissipativity of the equation in 2D and 3D, in certain Gevrey classes of analytic functions. MSC2000: 35Kxx, 70Kxx 1