Asymptotic Models of Flow in a Pipe with Compliant Walls

DOI10.46698/i3568-6388-7809-uOpenAlexW4381661621MaRDI QIDQ6079270

Unnamed Author, M. Yu. Zhukov

Publication date: 29 September 2023

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj862

zbMATH Keywords

asymptotic expansionsquasi-linear hyperbolic equationsKorteweg-de Vries-Burgers amplitude equationvortex-free flow of incompressible fluid

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Series solutions to PDEs (35C10) Asymptotic expansions of solutions to PDEs (35C20) Perturbations in context of PDEs (35B20) First-order hyperbolic systems (35L40)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Blood flow through compliant vessels after endovascular repair: wall deformations induced by the discontinuous wall properties
• One-dimensional models for blood flow in arteries
• Critical thresholds in a quasilinear hyperbolic model of blood flow
• Fluid-structure interaction in a pre-stressed tube with thick elastic walls. I: The stationary Stokes problem
• Modeling blood flow in networks of viscoelastic vessels with the 1-D augmented fluid-structure interaction system
• Amplitude equations at the critical points of unstable dispersive physical systems
• Methods of Blood Flow Modelling
• A non-linear equation incorporating damping and dispersion
• Analysis of a Geometrical Multiscale Blood Flow Model Based on the Coupling of ODEs and Hyperbolic PDEs
• Multiscale modelling of the circulatory system: a preliminary analysis

This page was built for publication: Asymptotic Models of Flow in a Pipe with Compliant Walls