Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant
Joachim Escher (IFAM), Matthieu Hillairet (IMT), Philippe Laurencot, (IMT), Christoph Walker (IFAM)
TL;DR
This paper proves the existence of global weak solutions for a degenerate parabolic system that models the spreading behavior of insoluble surfactant on thin liquid films.
Contribution
It establishes the first rigorous proof of global weak solutions for this specific degenerate parabolic system modeling surfactant spreading.
Findings
Existence of nonnegative weak solutions is proven.
The solutions are global in time.
The model accurately describes surfactant spreading dynamics.
Abstract
We prove global existence of a nonnegative weak solution to a degenerate parabolic system, which models the spreading of insoluble surfactant on a thin liquid film.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsFluid Dynamics and Thin Films · Mathematical and Theoretical Epidemiology and Ecology Models