Delay-dependent stability analysis of convection-diffusion equations with delay

Qifeng Zhang, Changying Li, Hongyu Qin
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引用次数: 1

Abstract

This paper is concerned with the delay-dependent stability analysis of the one-dimensional and two-dimensional convection-diffusion equations with time delay. Some sufficient and necessary conditions for the asymptotical stability of the equations are proposed. These results lay the foundation for the numerical stability analysis of such kinds of equations.
具有时滞的对流扩散方程的时滞相关稳定性分析
本文研究了一维和二维具有时滞的对流扩散方程的时滞相关稳定性分析。给出了方程组渐近稳定的几个充分必要条件。这些结果为这类方程的数值稳定性分析奠定了基础。
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