Uniqueness and structural stability for the Cattaneo-Christov equations

被引：191

作者：

Ciarletta, M. ^{[2
]}

Straughan, B. ^{[1
]}

机构：

[1] Univ Durham, Dept Math Sci, Durham DH1 3LE, England

[2] Univ Salerno, Dipartimento Ingn Informaz & Matemat Applicata, I-84100 Salerno, Italy

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2010年 / 37卷 / 05期

关键词：

Cattaneo-Christov equations; Uniqueness; Structural stability; HEAT-CONDUCTION; FLUID;

D O I：

10.1016/j.mechrescom.2010.06.002

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The recent modification of the Cattaneo equations proposed by Christov is analysed. The solution to both the initial and final value problems is shown to be unique. Further, it is shown that the solution to the backward in time problem depends continuously on the relaxation time. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：445 / 447

页数：3

共 15 条

[1]

Ames K. A., 1997, MATH SCI ENG, V194

[2]

[Anonymous], 1963, NONLINEAR PROBLEMS

[3]

Cattaneo C., 1949, Atti Sem. Mat. Fis. Univ. Modena, V3, P83

[4] On frame indifferent formulation of the Maxwell-Cattaneo model of finite-speed heat conduction [J].

Christov, C. I. .

MECHANICS RESEARCH COMMUNICATIONS, 2009, 36 (04) :481-486

[5] Heat conduction paradox involving second-sound propagation in moving media [J].

Christov, CI ;

Jordan, PM .

PHYSICAL REVIEW LETTERS, 2005, 94 (15)

[6]

Fox N., 1969, Journal of the Institute of Mathematics and Its Applications, V5, P373

[7]

GRAFFI D, 1960, ATTI ACCADEMIA SC 11, V8, P7

[8]

GRAFFI D, 1960, ANN MAT PUR APPL, V50, P379

[9]

GRAFFI D, 1999, OPERE SCELTE, P273

[10] BENARD-MARANGONI INSTABILITY IN A MAXWELL-CATTANEO FLUID [J].

LEBON, G ;

CLOOT, A .

PHYSICS LETTERS A, 1984, 105 (07) :361-364

← 1 2 →