Dynamics and Stability of Surface Waves with Surfactants

DOI10.1137/16M1079312zbMath1374.35282OpenAlexW2606788198MaRDI QIDQ5737790

Ian Tice, Chanwoo Kim

Publication date: 30 May 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1079312

zbMATH Keywords

Navier-Stokes equationsinterfacial stabilityfree boundarysurfactants

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) Interfacial stability and instability in hydrodynamic stability (76E17) Capillarity (surface tension) for incompressible viscous fluids (76D45) Free boundary problems for PDEs (35R35) Hydrodynamic stability (76E99)

Related Items (3)

Dynamics and stability of surface waves with bulk-soluble surfactants ⋮ Decay rates for the viscous incompressible MHD equations with and without surface tension ⋮ Almost exponential decay of the Boussinesq equations without surface tension on the upper free boundary

Cites Work

• Unnamed Item
• Local well-posedness of the viscous surface wave problem without surface tension
• Large-time regularity of viscous surface waves
• A mathematical and numerical study of incompressible flows with a surfactant monolayer
• Almost exponential decay of periodic viscous surface waves without surface tension
• The viscous surface-internal wave problem: global well-posedness and decay
• Global in time behavior of viscous surface waves: horizontally periodic motion
• A level-set method for interfacial flows with surfactant
• Well-Posedness and Decay of the Viscous Surface Wave
• Well-posedness of a Two-phase Flow with Soluble Surfactant
• Stability of Equilibria for Two-Phase Flows with Soluble Surfactant

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