Resonant three-wave interactions in nonlinear hyper-elastic fluid-filled tubes
type: Item
instance of: scholarly article
title: Resonant three-wave interactions in nonlinear hyper-elastic fluid-filled tubes
zbMATH Open document ID: 0672.73024
DOI: 10.1007/BF00948729
author: G. E. Swaters
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1988-01-01T00:00:00Z
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 4100691
zbMATH Keywords: multiple-scales method
zbMATH Keywords: three-wave interaction equations
zbMATH Keywords: resonantly interacting triads
zbMATH Keywords: axially-tethered nonlinear membraneous cylindrical shell
zbMATH Keywords: resultant stresses
zbMATH Keywords: strain-energy functional
zbMATH Keywords: two-dimensional
zbMATH Keywords: axi-symmetric
zbMATH Keywords: inviscid
zbMATH Keywords: temporally developing modes
zbMATH Keywords: pump-wave approximations
zbMATH Keywords: explosively unstable steadily-traveling wave packets
MaRDI profile type: Publication
cites work: Q3925229
cites work: Q5558293
cites work: Three-wave resonant interactions of gravity-capillary waves
cites work: Elastic jumps on fluid-filled elastic tubes
cites work: ON THE WAVETRAINS ASSOCIATED WITH ELASTIC JUMPS ON FLUID-FILLED ELASTIC TUBES
cites work: Wave Interactions and Fluid Flows
cites work: Evolution in space and time of resonant wave triads - I. The 'pump-wave approximation'
cites work: Inflation waves in nonlinear distensible tubes
cites work: Post Buckling Behavior of Elastic Tubes and Rings with Opposite Sides in Contact
cites work: A non-linear equation incorporating damping and dispersion
cites work: A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
cites work: Impulse propagation in liquid filled distensible tubes: Theory and experiment for intermediate to long wavelengths
cites work: Wave propagation and reflection in liquid filled distensible tube systems exhibiting dissipation and dispersion
cites work: Waves in thin-walled elastic tubes containing an incompressible inviscid fluid
cites work: Q3327849
cites work: The Fluid Mechanics of Large Blood Vessels
cites work: Wave Propagation in a Fluid-Filled Tube
cites work: Wave propagation in a viscoelastic tube containing a viscous fluid
cites work: Nonlinear resonant oscillations in open tubes
cites work: Q4151274
full work available at URL: https://doi.org/10.1007/bf00948729
OpenAlex ID: W2163615801
description: scientific article; zbMATH DE number 4100691