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

Joachim Escher (1) , Matthieu Hillairet (2) , Philippe Laurencot (2) , Christoph Walker (3)

1 IFAM - Institute for Applied Mathematics
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 IFAM - Institut für Angewandte Mathematik

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.

Mots clés: thin film; weak solution; degenerate parabolic system

Domaines: Equations aux dérivées partielles [math.AP]

Joachim Escher, Matthieu Hillairet, Philippe Laurencot, Christoph Walker. Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant. Indiana University Mathematics Journal, 2011, 60 (6), pp.1975--2019. ⟨10.1512/iumj.2011.60.4441⟩. ⟨hal-00495919⟩