Travelling wave solutions in dilatant non-Newtonian thin films with second-order viscosity

DOI10.1080/00036811.2019.1636973zbMath1461.35094OpenAlexW2961035590WikidataQ127588489 ScholiaQ127588489MaRDI QIDQ5858435

Yuehong Zhuang, Joachim Escher

Publication date: 13 April 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2019.1636973

zbMATH Keywords

heteroclinic orbitthin filmdilatant fluidinsoluble surfactant

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Thin fluid films (76A20) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic systems (35K45) Traveling wave solutions (35C07)

Cites Work

• Modeling and analysis of a two-phase thin film model with insoluble surfactant
• Travelling waves in dilatant non-Newtonian thin films
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• Thin film equations with soluble surfactant and gravity: Modeling and stability of steady states
• Traveling Waves for a Thin Film with Gravity and Insoluble Surfactant
• Insoluble surfactant spreading on a thin viscous film: shock evolution and film rupture
• The spreading of heat or soluble surfactant along a thin liquid film
• Nonlinear evolution equations for thin liquid films with insoluble surfactants
• Breakup of surfactant-laden jets above the critical micelle concentration
• Gravity-driven thin liquid films with insoluble surfactant: smooth traveling waves
• Surfactant Spreading on Thin Viscous Films: Nonnegative Solutions of A Coupled Degenerate System

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