Homogenisation of two-phase emulsions

DOI10.1017/S0308210500030146zbMath0817.76092OpenAlexW2292893675MaRDI QIDQ4328034

Bogdan Vernescu, Robert P. Lipton

Publication date: 27 March 1995

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500030146

zbMATH Keywords

surface tensionspherical bubblestwo-scale convergencebulk flowfine phase limitStokes fluids

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items

Asymptotics for dilute emulsions with surface tension ⋮ Surfactant stabilized bubbles flowing in a Newtonian fluid ⋮ Dilute emulsions with surface tension ⋮ Rate of convergence for a multi-scale model of dilute emulsions with non-uniform surface tension ⋮ Multiscale modeling of magnetorheological suspensions

Cites Work

• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• The viscosity of a fluid containing small drops of another fluid
• Darcy's law for slow viscous flow past a stationary array of bubbles
• Extremum principles for slow viscous flows with applications to suspensions
• The deformation of a drop in a general time-dependent fluid flow
• The stress system in a suspension of force-free particles