考虑沿流体运动轨迹记忆的Kelvin-Voigt模型的均匀吸引子

IF 0.58 Q3 Engineering

Journal of Applied and Industrial Mathematics Pub Date : 2025-07-11 DOI:10.1134/S1990478924040227

M. V. Turbin, A. S. Ustiuzhaninova

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引用次数: 0

摘要

本文致力于研究考虑沿流体运动轨迹记忆的kelvin - voigt模型解的定性行为。即根据非不变轨迹空间的吸引子理论，证明了非自治情况下所考虑的模型在一定的系数条件下存在一致轨迹和一致全局吸引子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Uniform Attractors for the Kelvin–Voigt Model Taking into Account Memory along Fluid Motion Trajectories

The paper is devoted to the study of the qualitative behavior of solutions for the Kelvin–Voigt model taking into account memory along fluid motion trajectories. Namely, based on the theory of attractors of noninvariant trajectory spaces, for the model under consideration in the nonautonomous case the existence of a uniform trajectory and a uniform global attractor is proved under certain conditions on the coefficients.

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.