静脉血液流动非线性双曲系统的基本波  

Elementary waves of the nonlinear hyperbolic system for blood flow in veins

作　　者：杨月颖 盛万成[1] YANG Yueying;SHENG Wancheng(College of Sciences,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学理学院,上海200444

出　　处：《上海大学学报（自然科学版）》2023年第2期355-366,共12页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金资助项目(12171305)。

摘　　要：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?.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 regionΩin the phase space where stationary wave could be connected by a state when the given state was outside the region.

关 键 词：静脉血液流动 基本波 驻波 非严格的双曲系统 

分 类 号：O175[理学—数学]