Global Existence of a Quasi-Linear Hyperbolic-Parabolic Model for Vasculogenesis

IF 1.3 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2025-10-03 DOI:10.1007/s00021-025-00974-8

Qing Chen, Yunshun Wu

引用次数: 0

Abstract

In this paper, we study the global existence for a quasi-linear hyperbolic-parabolic system modeling vascular networks. Under the assumption that the critical cell density satisfies \(P'(\bar{\rho })=\frac{a\mu }{b}\bar{\rho }\), we establish the global existence for small perturbations and derive the optimal convergent rates for all-order derivatives of the solution.

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血管生成的拟线性双曲-抛物模型的整体存在性

本文研究了一类模拟血管网络的拟线性双曲抛物型系统的整体存在性。在临界单元密度满足\(P'(\bar{\rho })=\frac{a\mu }{b}\bar{\rho }\)的假设下，我们建立了小扰动的全局存在性，并导出了解的全阶导数的最优收敛速率。

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

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.