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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...
Analytical Solution of Smoluchowski Equation in Harmonic Oscillator Potential
Smoluchowski equation probability distribution diffusive current
2007/8/15
2005Vol.43No.6pp.1099-1104DOI:
Analytical Solution of Smoluchowski Equation in Harmonic Oscillator Potential
SUN Xiao-Jun,1,2 LU Xiao-Xia,1 YAN Yu-Liang,1
DUAN Jun-Feng,1 and ZHA...
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...