Free energies and asymptotic behaviour for incompressible viscoelastic fluids

被引：13

作者：

Amendola, G. ^{[2
]}

Fabrizio, M. ^{[1
]}

Golden, J. M. ^{[3
]}

Lazzari, B. ^{[1
]}

机构：

[1] Univ Bologna, Dipartmento Matemat, I-40127 Bologna, Italy

[2] Univ Pisa, Dipartimento Matemat Applicata, I-56126 Pisa, Italy

[3] Dublin Inst Technol, Dublin 8, Ireland

来源：

APPLICABLE ANALYSIS | 2009年 / 88卷 / 06期

关键词：

viscoelastic fluid; fading memory; free energy; behaviour of solutions; STABILITY;

D O I：

10.1080/00036810903042117

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence, uniqueness and asymptotic stability for an incompressible, linear viscoelastic fluid is studied using a new free energy, the representation of which is based on the concept of a minimal state. A restriction imposed by thermodynamics is also used. Furthermore, an expression for the minimum free energy in the time domain is derived, which shows explicitly its dependence on the minimal state.

引用

页码：789 / 805

页数：17

共 20 条

[1]

AMENDOLA G, UKRAINIAN M IN PRESS

[2] The minimum free energy for incompressible viscoelastic fluids [J].