Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant

DOI10.1512/iumj.2011.60.4447zbMath1261.35071arXiv1006.5780OpenAlexW2950149035MaRDI QIDQ4905826

Philippe Laurençot, Matthieu Hillairet, Joachim Escher, Christoph Walker

Publication date: 21 February 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5780

zbMATH Keywords

weak solutionenergy functionalthin filmregularization proceduredegenerate parabolic systemnonegative initial data

Mathematics Subject Classification ID

Thin fluid films (76A20) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (7)

Traveling Waves for a Thin Film with Gravity and Insoluble Surfactant ⋮ The interface dynamics of a surfactant drop on a thin viscous film ⋮ Modeling and analysis of a two-phase thin film model with insoluble surfactant ⋮ Weak solutions to a two-phase thin film model with insoluble surfactant driven by capillary effects ⋮ Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media ⋮ On a thin film model with insoluble surfactant ⋮ Modeling coating flow and surfactant dynamics inside the alveolar compartment

This page was built for publication: Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant