Solitary waves in a fluid-filled thin elastic tube with variable cross-section

DOI10.1016/j.cnsns.2005.05.008zbMath1111.35043OpenAlexW2088711782MaRDI QIDQ868074

Hilmi Demiray

Publication date: 19 February 2007

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2005.05.008

zbMATH Keywords

solitary wavesblood vesselsKorteweg-de Vries equationthin walled prestressed elastic tube

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Physiological flow (92C35)

Related Items (2)

Painlevé property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes ⋮ Disturbance and repair of solitary waves in blood vessels with aneurysm

Cites Work

• Waves in nonlinear fluid filled tubes
• Wave propagation through a viscous fluid contained in a prestressed thin elastic tube
• Large deformation analysis of some basic problems in biophysics
• Nonlinear waves in an inviscid fluid contained in a prestressed viscoelastic thin tube
• On some nonlinear waves in fluid-filled viscoelastic tubes: weakly dispersive case
• Weakly nonlinear waves in a viscous fluid contained in a viscoelastic tube with variable cross-section
• Solitary waves in prestressed elastic tubes
• The Fluid Mechanics of Large Blood Vessels
• A non-linear equation incorporating damping and dispersion
• A nonlinear analysis of pulsatile flow in arteries

This page was built for publication: Solitary waves in a fluid-filled thin elastic tube with variable cross-section