Non-isothermal flows of viscoelastic incompressible fluids

被引：6

作者：

Damak Besbes, Saloua ^{[1
]}

Guillopé, Colette ^{[2
]}

机构：

[1] Analyse numérique et équations aux dérivées partielles, Université Paris-Sud and CNRS, Bâtiment 425, 91405 Orsay Cedex, France

[2] Mathématiques, UFR de Sciences et Technologie, Université Paris XII-Val de Marne, 61 avenue du General de Gaulle, 94010 Créteil Cedex, France

来源：

Nonlinear Analysis, Theory, Methods and Applications | 2001年 / 44卷 / 07期

关键词：

Differential equations - Heat flux - Hydrodynamics - Nonlinear equations - Relaxation processes - Reynolds number - Tensors - Theorem proving - Vectors - Viscoelasticity - Viscosity;

D O I：

10.1016/S0362-546X(99)00315-6

中图分类号：

学科分类号：

摘要：

The problem concerning the motion of incompressible viscoelastic fluids for which the extra-stress tensor τ is given by a differential constitutive equation of Oldroyd type was studied. A local in time existence result of viscoelastic isothermal unsteady flow with differential constitutive equation was proven. The local existence of flows for Maxwell-type equations, for which an ellipticity condition is assumed (case of the so-called hypoelastic materials) was studied. The existence of local in time solutions to a White-Metzner model, for which the viscosity and the relaxation time depend on the rate of deformation tensor was also proven.

引用

页码：919 / 942

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