| 静脉血流动力学模型基本波的相互作用北大核心CSCD |
| |
| 引用本文： | 单亿,盛万成.静脉血流动力学模型基本波的相互作用北大核心CSCD[J].数学年刊A辑(中文版),2022,43(4):347-356. |
| |
| 作者姓名： | 单亿 盛万成 |
| |
| 作者单位： | 上海大学数学系, 上海 200444. |
| |
| 基金项目： | 国家自然科学基金(No.12171305) |
| |
| 摘 要： | 静脉系统是心血管系统的重要组成部分.脉搏波在血液流动中有着突出的重要性.本文主要研究静脉血流动力学模型基本波的相互作用.血流动力学模型是2×2严格双曲型方程组,其基本波包括疏散波和激波,属于血液流动中的脉搏波.基本波相互作用后血管截面面积和血流速度发生相应的变化.
|
| 关 键 词： | 血流动力学 静脉 疏散波 激波 基本波的相互作用 |
| 收稿时间： | 2022/4/24 0:00:00 |
| 修稿时间： | 2022/11/11 0:00:00 |
Interaction of Elementary Waves for a Blood Flow Dynamical Model in Veins |
| |
| SHAN Yi,SHENG Wancheng.Interaction of Elementary Waves for a Blood Flow Dynamical Model in Veins[J].Chinese Annals of Mathematics,2022,43(4):347-356. |
| |
| Authors: | SHAN Yi SHENG Wancheng |
| |
| Institution: | Department of Mathematics, Shanghai University, Shanghai 200444, China. |
| |
| Abstract: | The venous system is an important part of the cardiovascular system. Pulse waves play a prominent role in blood flow. This paper is concerned with the interaction of elementary waves in the dynamic model of blood flow in veins. The dynamic model of blood flow is a set of 2 × 2 strictly hyperbolic equations, and its elementary waves include rarefaction waves and shock waves, which belong to pulse wave in blood flow. The crosssectional area and velocity of blood vessels change after elementary wave interaction. |
| |
| Keywords: | Blood flow dynamics Veins Rarefaction wave Shock wave Interaction of elementary waves |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《数学年刊A辑(中文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊A辑(中文版)》下载免费的PDF全文 |
