论文信息 - Dissipativity and Gevrey regularity of a Smoluchowski equation

Dissipativity and Gevrey regularity of a Smoluchowski equation

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.

[1] Donald A. Jones,et al. On the effectiveness of the approximate inertial manifold—a computational study , 1995 .

[2] H. Kreiss,et al. Smallest scale estimates for the Navier-Stokes equations for incompressible fluids , 1990 .

[3] Edriss S. Titi,et al. Gevrey Regularity for Nonlinear Analytic Parabolic Equations on the Sphere , 2000 .

[4] Edriss S. Titi,et al. GEVREY REGULARITY FOR NONLINEAR ANALYTIC PARABOLIC EQUATIONS , 1998 .

[5] Edriss S. Titi,et al. Remarks on a Smoluchowski equation , 2004 .

[6] R. Temam. Navier-Stokes Equations , 1977 .

[7] Edriss S. Titi,et al. Regularity of solutions and the convergence of the galerkin method in the ginzburg-landau equation , 1993 .

[8] Edriss S. Titi,et al. The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom , 1999 .

[9] R. Temam,et al. Gevrey class regularity for the solutions of the Navier-Stokes equations , 1989 .

[10] Hantaek Bae. Navier-Stokes equations , 1992 .

[11] Edriss S. Titi,et al. Asymptotic States of a Smoluchowski Equation , 2004 .

[12] L. Onsager. THE EFFECTS OF SHAPE ON THE INTERACTION OF COLLOIDAL PARTICLES , 1949 .

[13] Masao Doi,et al. Molecular dynamics and rheological properties of concentrated solutions of rodlike polymers in isotropic and liquid crystalline phases , 1981 .

[14] 竹内勝,et al. Modern spherical functions , 1994 .