Thin-film approximations of the two-phase Stokes problem

DOI10.1016/j.na.2012.07.034zbMath1251.76004OpenAlexW2059536343MaRDI QIDQ715673

Anca-Voichita Matioc, Joachim Escher, Bogdan-Vasile Matioc

Publication date: 31 October 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.07.034

zbMATH Keywords

exponential stabilitystrong solutionthin-filmdegenerate parabolic system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Thin fluid films (76A20) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59)

Related Items (9)

Analysis of a two-fluid Taylor-Couette flow with one non-Newtonian fluid ⋮ Non-Newtonian two-phase thin-film problem: Local existence, uniqueness, and stability ⋮ Long-time asymptotics and regularity estimates for weak solutions to a doubly degenerate thin-film equation in the Taylor-Couette setting ⋮ Modeling and analysis of a two-phase thin film model with insoluble surfactant ⋮ Non-negative global weak solutions for a degenerated parabolic system approximating the two-phase Stokes problem ⋮ On the dynamics of thin layers of viscous flows inside another viscous fluid ⋮ Analysis of a thin film approximation for two-fluid Taylor-Couette flows ⋮ On the thin film Muskat and the thin film Stokes equations ⋮ On a thin film model with insoluble surfactant

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