## Abstract and Applied Analysis

### On the Equilibria of the Extended Nematic Polymers under Elongational Flow

#### Abstract

We classify the equilibrium solutions of the Smoluchowski equation for dipolar (extended) rigid nematic polymers under imposed elongational flow. The Smoluchowski equation couples the Maier-Saupe short-range interaction, dipole-dipole interaction, and an external elongational flow. We show that all stable equilibria of rigid, dipolar rod dispersions under imposed uniaxial elongational flow field are axisymmetric. This finding of axisymmetry significantly simplifies any procedure of obtaining experimentally observable equilibria.

#### Article information

Source
Abstr. Appl. Anal., Volume 2007 (2007), Article ID 36267, 15 pages.

Dates
First available in Project Euclid: 5 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1183666874

Digital Object Identifier
doi:10.1155/2007/36267

Mathematical Reviews number (MathSciNet)
MR2320796

Zentralblatt MATH identifier
1140.76309

#### Citation

Zhou, Hong; Wilson, Lynda; Wang, Hongyun. On the Equilibria of the Extended Nematic Polymers under Elongational Flow. Abstr. Appl. Anal. 2007 (2007), Article ID 36267, 15 pages. doi:10.1155/2007/36267. https://projecteuclid.org/euclid.aaa/1183666874

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