加热铁流体流动模型的时周期解法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-18 DOI:10.1112/jlms.12990

Kamel Hamdache, Djamila Hamroun, Basma Jaffal-Mourtada

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引用次数: 0

摘要

在这项研究中，我们证明了一个描述从下部加热的铁流体流动模型的时间周期解的存在性。流体速度满足的纳维-斯托克斯方程与温度方程和磁势满足的磁静力方程耦合。磁化假定与磁场平行，并由概括了朗格文定律的非线性磁化定律给出。证明基于半加尔金近似和正则化方法以及定点法。

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Time-periodic solutions to heated ferrofluid flow models

In this work, we prove the existence of time-periodic solutions to a model describing a ferrofluid flow heated from below. Navier–Stokes equations satisfied by the fluid velocity are coupled to the temperature equation and the magnetostatic equation satisfied by the magnetic potential. The magnetization is assumed to be parallel to the magnetic field and is given by a nonlinear magnetization law generalizing the Langevin law. The proof is based on a semi-Galerkin approximation and regularization methods together with the fixed point method.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.