The research of vasoconstriction effect on the solitary waves in stenotic arterial vessel

Vascular stenosis is a common cardiovascular disease,and the in-depth study of its biomechanical mechanism will help to explore the occurrence mechanism and law of the disease,which is of great significance in the prevention and diagnosis of cardiovascular disease.Different from previous studies,radial and axial motions are considered in the realistic configuration of the wall,and the wall equation of the stenotic artery is established.On the basis of the wall equation and fluid equation,the KdV-Burgers equation is obtained by scale analysis and perturbation expansion.The effects of axial displacement and wall initial conditions on the propagation of solitary waves in stenotic arteries are discussed.It is shown that with the increase of the axial and radial tension ratios,the amplitude and width of the solitary wave increase,and the solitary wave becomes steeper and more sharp.The results of this study provide a theoretical value for detecting the shape change of solitary wave in blood vessel to predict vascular stenosis.

(2+1)-dimensional coupled Boussinesq equations for Rossby waves in two-layer cylindrical fluid

In this paper,the existence and propagation characteristics of Rossby waves in a two-layer cylindrical fluid are studied.Firstly,based on the dimensionless baroclinic quasi-geostrophic vortex equations including exogenous and dissipative,we derive new(2+1)-dimensional coupled Boussinesq equations describing wave propagation in polar coordinates by employing a multiscale analysis and perturbation method.Then,the Lie symmetries and conservation laws of the coupled Boussinesq equations are analyzed.Subsequently,by using the(G’/G)-expansion method,the exact solutions of the(2+1)-dimensional coupled Boussinesq equations are obtained.Finally,the effects of coupling term coefficients on the propagation characteristics of Rossby waves are analyzed.