微观结构诱导的流体通过多孔介质的有限速度热传播：分析结果

IF 2.3 2区数学 Q1 MATHEMATICS, APPLIED

Studies in Applied Mathematics Pub Date : 2025-10-01 DOI:10.1111/sapm.70118

Luca Bisconti, Paolo Maria Mariano

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引用次数: 0

摘要

在非等温环境下，微观结构的相互作用可能决定有限速度的热传播。我们在粘性不可压缩复杂流体（即具有“活性”微观结构的流体）通过多孔介质的动力学中考虑了这种效应。非局部作用和非线性阻尼被认为是由固体-流体和微观结构相互作用决定的。通过本构结构的选择和引入一些高阶项的特定截断，证明了平衡方程整体强解的存在唯一性。并分析了相应的弱解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Microstructure-Induced Finite-Speed Heat Propagation in Fluids Through Porous Media: Analytical Results

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Microstructure-Induced Finite-Speed Heat Propagation in Fluids Through Porous Media: Analytical Results

In nonisothermal setting, microstructural interactions may determine finite-speed heat propagation. We consider such an effect in the dynamics of a viscous incompressible complex fluid (i.e., one with “active” microstructure) through a porous medium. Nonlocal actions and nonlinear damping are considered as determined by the solid–fluid and microstructural interactions. After a choice of constitutive structures and the introduction of a specific truncation of some higher-order terms, we prove existence and uniqueness of global strong solutions to the balance equations. We also analyze pertinent weak solutions.

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来源期刊

Studies in Applied Mathematics 数学-应用数学

CiteScore

4.30

自引率

3.70%

发文量

审稿时长

>12 weeks

期刊介绍： Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.