ATTRACTORS FOR A NON-LINEAR PARABOLIC EQUATION MODELLING SUSPENSION FLOWS

被引：6

作者：

Amigo, Jose M. ^{[1
]}

Catto, Isabelle ^{[2
]}

Gimenez, Angel ^{[1
]}

Valero, Jose ^{[1
]}

机构：

[1] Univ Miguel Hernandez, Ctr Invest Operat, Alicante 03202, Spain

[2] Univ Paris 09, CNRS, UMR 7534, CEREMADE, F-75775 Paris 16, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2009年 / 11卷 / 02期

关键词：

Non-Newtonian fluids; set-valued dynamical system; global attractor; REACTION-DIFFUSION SYSTEMS; UNBOUNDED-DOMAINS; ASYMPTOTIC-BEHAVIOR; EVOLUTION-EQUATIONS; GLOBAL ATTRACTORS; R-N; WEAK;

D O I：

10.3934/dcdsb.2009.11.205

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence of a global attractor with respect to the weak topology of a suitable Banach space for a parabolic scalar differential equation describing a non-Newtonian flow. More precisely, we study a model proposed by Hebraud and Lequeux for concentrated suspensions.

引用

页码：205 / 231

页数：27

共 38 条

[1]

[Anonymous], USP MAT NAUK

[2]

[Anonymous], 1988, INFINITE DIMENSIONAL

[3] Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains [J].

Arrieta, JM ;

Cholewa, JW ;

Dlotko, T ;

Rodríguez-Bernal, A .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (04) :515-554

[4]

Aubin J.-P., 1990, Set-Valued Analysis

[5]

Babin A. V., 1985, RES NOTES MATH, VVII, P11

[6]

BABIN A.V., 1989, ATTRACTORS OF EVOLUTION EQUATIONS

[7] ATTRACTORS OF PARTIAL-DIFFERENTIAL EVOLUTION-EQUATIONS IN AN UNBOUNDED DOMAIN [J].

BABIN, AV ;

VISHIK, MI .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1990, 116 :221-243

[8]

BREZIS H, 1983, ANAL FUNCIONAL

[9] Well-posedness of a multiscale model for concentrated suspensions [J].

Cancès, E ;

Catto, I ;

Gati, Y ;

Le Bris, C .

MULTISCALE MODELING & SIMULATION, 2005, 4 (04) :1041-1058

[10] Mathematical analysis of a nonlinear parabolic equation arising in the modelling of non-Newtonian flows [J].

Cancès, E ;

Catto, I ;

Gati, Y .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2005, 37 (01) :60-82

← 1 2 3 4 →