On the stability of traveling wave solutions to thin-film and long-wave models for film flows inside a tube

DOI10.1016/j.physd.2020.132750zbMath1490.76102OpenAlexW3091567150MaRDI QIDQ2116301

Jeremy L. Marzuola, Roberto Camassa, H. Reed Ogrosky, Sterling R. Swygert

Publication date: 16 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2020.132750

zbMATH Keywords

asymptotic solutionHopf bifurcationlubrication theorythin filmshooting techniquecontinuation software AUTOtraveling wave stability

Mathematics Subject Classification ID

Thin fluid films (76A20) Lubrication theory (76D08) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Interfacial stability and instability in hydrodynamic stability (76E17) Basic methods in fluid mechanics (76M99)

Related Items (3)

A long-wave model for film flow inside a tube with slip ⋮ Application of the dynamical system method and the deep learning method to solve the new (3+1)-dimensional fractional modified Benjamin-Bona-Mahony equation ⋮ Linear stability and nonlinear dynamics in a long-wave model of film flows inside a tube in the presence of surfactant

Uses Software

• AUTO-86
• AUTO-07P

Cites Work

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