Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier–Stokes Equations Modeling Vascular Network Formation

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-18 DOI:10.1007/s00021-023-00840-5

Xiaokai Huo, Ansgar Jüngel

引用次数: 0

Abstract

A model of vascular network formation is analyzed in a bounded domain, consisting of the compressible Navier–Stokes equations for the density of the endothelial cells and their velocity, coupled to a reaction-diffusion equation for the concentration of the chemoattractant, which triggers the migration of the endothelial cells and the blood vessel formation. The coupling of the equations is realized by the chemotaxis force in the momentum balance equation. The global existence of finite energy weak solutions is shown for adiabatic pressure coefficients \(\gamma >8/5\). The solutions satisfy a relative energy inequality, which allows for the proof of the weak–strong uniqueness property.

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以血管网络形成为模型的趋化可压缩纳维-斯托克斯方程的全局存在性和弱-强唯一性

该模型包括内皮细胞密度及其速度的可压缩纳维-斯托克斯方程，以及化合吸引剂浓度的反应-扩散方程，化合吸引剂引发内皮细胞迁移和血管形成。动量平衡方程中的趋化力实现了方程的耦合。对于绝热压力系数 \(\gamma >8/5\)，有限能量弱解的全局存在得到了证明。这些解满足相对能量不等式，从而证明了弱-强唯一性。

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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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.