| 单亿,盛万成.静脉血流动力学模型基本波的相互作用*[J].数学年刊A辑,2022,43(4):347~356 |
| 静脉血流动力学模型基本波的相互作用* |
| Interaction of Elementary Waves for a Blood Flow Dynamical Model in Veins |
| 投稿时间：2022-04-24 修订日期：2022-11-11 |
| DOI：10.16205/j.cnki.cama.2022.0022 |
| 中文关键词: 血流动力学, 静脉, 疏散波, 激波, 基本波的相互作用 |
| 英文关键词:Blood flow dynamics, Veins, Rarefaction wave, Shock wave, Interaction of elementary waves |
| 基金项目:国家自然科学基金(No.12171305) |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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. |
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