Research on nonlinear waves of blood flow in arterial vessels
type: Item
instance of: scholarly article
title: Research on nonlinear waves of blood flow in arterial vessels
zbMATH Open document ID: 1484.35359
author: Yanyan Li
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2021-08-16T00:00:00Z
review text: Starting from incompressible, inviscid Navier-Stokes equations (and the continuity equation) describing the flow of blood in the aorta, a higher order nonlinear Schrödinger equation is derived for the slowly varying amplitude of the flow function. In the next step, traveling wave solutions are found. Moreover, a meshless radial basis function method is introduced and discussed.
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 76Z05
Mathematics Subject Classification ID: 92C35
Mathematics Subject Classification ID: 35B20
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 65D12
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 7382116
zbMATH Keywords: blood flow
zbMATH Keywords: higher order nonlinear Schrödinger equation
zbMATH Keywords: meshless radial basis function method
zbMATH Keywords: stroke volume
MaRDI profile type: Publication
full work available at URL: j.cnsns.2021.105918
OpenAlex ID: W3171562909
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DOI: 10.1016/J.CNSNS.2021.105918
description: scientific article; zbMATH DE number 7382116