Asymptotic states of a Smoluchowski equation

被引：58

作者：

Constantin, P ^{[1
]}

Kevrekidis, IG

Titi, ES

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[2] Princeton Univ, Princeton, NJ 08544 USA

[3] Univ Calif Irvine, Dept Mech & Aerosp Engn, Irvine, CA 92697 USA

[4] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

[5] Weizmann Inst Sci, Dept Comp Sci & Appl Math, IL-76100 Rehovot, Israel

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2004年 / 174卷 / 03期

关键词：

D O I：

10.1007/s00205-004-0331-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the high-concentration asymptotics of steady states of a Smoluchowski equation arising in the modeling of nematic liquid crystalline polymers.

引用

页码：365 / 384

页数：20

共 19 条

[1] Diffusion, attraction and collapse [J].

Brenner, MP ;

Constantin, P ;

Kadanoff, LP ;

Schenkel, A ;

Venkataramani, SC .

NONLINEARITY, 1999, 12 (04) :1071-1098

[2]

CONSTANTIN P, 1993, PHYS REV, V47, P593

[3]

CONSTANTIN P, 2004, IN PRESS DISCRETE CO

[4]

DOI M, 1981, J POLYM SCI POL PHYS, V19, P229, DOI 10.1002/pol.1981.180190205

[5] The rigid-rod model for nematic polymers: An analysis of the shear flow problem [J].

Faraoni, V ;

Grosso, M ;

Crescitelli, S ;

Maffettone, PL .

JOURNAL OF RHEOLOGY, 1999, 43 (03) :829-843

[6]

FOREST G, 2003, SCALING BEHAV KINETI

[7]

FOREST G, 2003, WEAK SHEAR KINETIC P

[8] Monodomain response of finite-aspect-ratio macromolecules in shear and related linear flows [J].

Forest, MG ;

Wang, Q .

RHEOLOGICA ACTA, 2003, 42 (1-2) :20-46

[9]

Helgason S., 1978, DIFFERENTIAL GEOMETR

[10] A method for multiscale simulation of flowing complex fluids [J].

Jendrejack, RM ;

de Pablo, JJ ;

Graham, MD .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2002, 108 (1-3) :123-142

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