Remarks on a Smoluchowski equation Academic Article

abstract

• 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 distribution function in terms of the nondimensional parameter characterizing the intensity of the potential. In the two dimensional case we obtain lower and upper bounds for the number of steady states. We prove that the system is dissipative and that the potential serves as unique determining mode of the system.

authors

• Titi, Edriss

published proceedings

• DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

author list (cited authors)

• Constantin, P., Kevrekidis, I., & Titi, E. S.

citation count

• 36

complete list of authors

• Constantin, P||Kevrekidis, I||Titi, ES

publication date

• July 2004

publisher

• American Institute of Mathematical Sciences (AIMS)  Publisher

published in

• Discrete and Continuous Dynamical Systems Series A  Journal

keywords

• Determining Modes
• Gradient Bounds
• Long Time Dynamics
• Nematic Liquid Crystalline Polymers
• Non-newtonian Fluids
• Number Of Steady Solutions
• Rheology
• Smoluchowski Equation

Digital Object Identifier (DOI)

• 10.3934/dcds.2004.11.101

start page

• 101

end page

• 112

volume

• 11

issue

• 1

URL

• http://dx.doi.org/10.3934/dcds.2004.11.101