On a thin film model with insoluble surfactant

Bruell, Gabriele; Granero Belinchón, Rafael

doi:10.1016/j.jde.2019.11.080

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On a thin film model ... (1.288Mb)

Identificadores

URI: http://hdl.handle.net/10902/20788

DOI: 10.1016/j.jde.2019.11.080

ISSN: 1090-2732

ISSN: 0022-0396

Fecha

2020-06

Derechos

Publicado en

J. Differential Equations 268 (2020) 7582-760

Editorial

Elsevier

Enlace a la publicación

https://doi.org/10.1016/j.jde.2019.11.080

Palabras clave

Thin film equations

Surfactant

System of quasilinear parabolic equations

Degenerate equations

Global weak solutions

Decay rates

Resumen/Abstract

This paper studies the existence and asymptotic behavior of global weak solutions for a thin film equation with insoluble surfactant under the influence of gravitational, capillary, and van der Waals forces. We prove the existence of global weak solutions for medium sized initial data in large function spaces. Moreover, exponential decay towards the flat equilibrium state is established, where an estimate on the decay rate can be computed explicitly.

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