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On a thin film model with insoluble surfactant

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.

 Fuente: Journal of differential equations, 2020, 268, 7582-7608

 Publisher: Elsevier

 Publication date: 01/06/2020

 No. of pages: 27

 Publication type: Article

 DOI: 10.1016/j.jde.2019.11.080

 ISSN: 1090-2732,0022-0396

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

Authorship

BRUELL, GABRIELE