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Note on the Number of Steady States for a 2D Smoluchowski Equation
the Number Steady States 2D Smoluchowski Equation
2014/4/4
Dynamics of concentrated polymer solutions are modeled by a Smoluchowski equation. At high concentrations, such solutions form liquid crystalline polymers of nematic structure. We prove that at high i...
We study the long time dynamics of a Smoluchowski equation arising in the modeling of nematic liquid crystalline polymers. We prove uniform bounds for the long
time average of gradients of the distri...
Global well-posedness for a Smoluchowski equation coupled with Navier-Stokes equations in 2D
Nonlinear Fokker-Planck equations Navier-Stokes equations Smoluchowski equation micro-macro interactions
2014/4/4
We prove global existence for a nonlinear Smoluchowski equation (a nonlinear FokkerPlanck equation) coupled with Navier-Stokes equations in 2d. The proof uses a deteriorating regularity estimate in th...
Dissipativity and Gevrey Regularity of a Smoluchowski Equation
Dissipativity Gevrey Regularity Smoluchowski Equation
2014/4/4
We investigate a Smoluchowski equation (a nonlinear FokkerPlanck equation on the unit sphere), which arises in modeling of colloidal suspensions. We prove the dissipativity of the equation in 2D and 3...