研究了静脉血液流动非线性双曲系统的基本波. 静脉血液流动可以由一个 3 × 3 的非 线性偏微分方程系统描述. 它是一个非严格的双曲系统. 通过特征分析方法, 给出了静脉血液 流动的基本波——疏散波、激波和驻波. 特别地, 对于血液流动中的驻波, 证明了状态空间存 在一个区域 Ω. 当给定状态在该区域以外时, 存在驻波连接该状态.

This paper studied the elementary waves for the blood flow in veins. The blood flow in veins could be described by a 3 × 3 nonlinear partial differential equations. It was a non strict hyperbolic system. Using the characteristic analysis method, the elementary waves, including rarefaction wave, shock wave, and stationary wave, were obtained constructively. In particular, for stationary wave in blood flow in veins, it was proved that there existed a region Ω in the phase space where stationary wave could be connected by a state when the given state was outside the region