血管生成
摄动(天文学)
稀薄(生态学)
数学
消散
柯西分布
物理
数学分析
数学物理
热力学
量子力学
地质学
化学
古生物学
生物化学
物种丰富度
内皮干细胞
体外
作者
Qingqing Liu,Xiaoli Wu
出处
期刊:Discrete and Continuous Dynamical Systems-series B
[American Institute of Mathematical Sciences]
日期:2022-01-01
卷期号:27 (12): 7089-7089
被引量:1
标识
DOI:10.3934/dcdsb.2022034
摘要
<p style='text-indent:20px;'>In this paper, we are concerned with the large time behavior of solutions to the one-dimensional Cauchy problem on a hyperbolic-parabolic-elliptic model for vasculogenesis in the case when far field states of initial data are distinct. It turns out that the solutions exist for all time and tend to a weak rarefaction wave whose strength is not necessarily small under small perturbation. All the results are based on the assumption <inline-formula><tex-math id="M1">\begin{document}$ 2A-\frac{{\mu}a}{b}>0 $\end{document}</tex-math></inline-formula> which guarantees the dissipation of this model.</p>
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