Thermal convection in a simple fluid with fading memory

被引：17

作者：

Amendola, Giovambattista ^{[2
]}

Fabrizio, Mauro ^{[1
]}

机构：

[1] Dipartimento Matemat, I-40127 Bologna, Italy

[2] Dipartimento Matemat Applicata U Dini, I-56127 Pisa, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 366卷 / 02期

关键词：

Benard problem; Viscoelastic fluids; Fading memory; Existence and uniqueness; Stability; ENERGY STABILITY;

D O I：

10.1016/j.jmaa.2009.11.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of thermal convection in a viscoelastic fluid with fading memory is studied. After describing what is meant by a fluid with fading memory, we establish existence and uniqueness for the linearized thermal convection written in an arbitrary bounded domain of the three-dimensional space. Finally, we derive conditions on the Rayleigh number, which guarantee the exponential decay in the linearized stability problem. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：444 / 459

页数：16

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