Qualitative analysis of semilinear Cattaneo equations

被引：30

作者：

Hillen, T ^{[1
]}

机构：

[1] Univ Tubingen, D-72076 Tubingen, Germany

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1998年 / 8卷 / 03期

关键词：

D O I：

10.1142/S0218202598000238

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The linear Cattaneo equation appears in heat transport theory to describe heat wave propagation with finite speed. It can also be seen as a generalization of a correlated random walk. If the system admits nonconservative forces (or reactions), then a nonlinear Cattaneo system is obtained. Here we consider asymptotic behavior of solutions of the nonlinear Cattaneo system. Following Brayton and Miranker we define a Lyapunov function to show global existence of solutions and to show that each omega-limit set is contained in the set of all stationary solutions.

引用

页码：507 / 519

页数：13

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