带增殖项的卡恩-希利亚德系统

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-29 DOI:10.3233/asy-241915

Aymard Christbert Nimi, Franck Davhys Reval Langa

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引用次数: 0

摘要

在本文中，我们的目标是探索一个带有增殖项的卡恩-希利亚德系统，该系统与生物背景特别相关，并具有诺伊曼边界条件。我们首先确定了局部细胞密度 u 和温度 H 平均值的有界性。随后，我们证明了当时间接近无穷大时，u 趋近于 1，H 趋近于 0。最后，我们用数值模拟来支持我们的理论发现。

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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Cahn–Hilliard system with proliferation term

In this article, our objective is to explore a Cahn–Hilliard system with a proliferation term, particularly relevant in biological contexts, with Neumann boundary conditions. We commence our investigation by establishing the boundedness of the average values of the local cell density u and the temperature H. This observation suggests that the solution (u,H) either persists globally in time or experiences finite-time blow-up. Subsequently, we prove the convergence of u to 1 and H to 0 as time approaches infinity. Finally, we bolster our theoretical findings with numerical simulations.

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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.