Capillary driven evolution of an interface between viscous fluids

DOI10.1016/S0362-546X(96)00316-1zbMath0929.76038MaRDI QIDQ4370015

Anca Badea, Jean Duchon

Publication date: 2 February 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Fourier transformuniquenessevolution equationglobal existencestationary Stokes systemkinematic conditionquasidifferential operatorinfinitesimal generator of linear semigroup

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Stratification effects in viscous fluids (76D50) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items

Two-phase Stokes flow by capillarity in the plane: the case of different viscosities ⋮ Capillarity-driven Stokes flow: the one-phase problem as small viscosity limit ⋮ Two-phase Stokes flow by capillarity in full 2D space: an approach via hydrodynamic potentials

Cites Work

• Solution of parabolic pseudo-differential initial-boundary value problems
• Perturbation quasi différentielle d'un semi-groupe régularisant dans une échelle d'espaces de Banach. (Quasi differential perturbation of a regularizing semigrop in a scale of Banach spaces)
• Global vortex sheet solutions of Euler equations in the plane
• A numerical study of the deformation and burst of a viscous drop in an extensional flow
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