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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
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BRUELL, GABRIELE
RAFAEL GRANERO BELINCHON
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