Vanishing capillarity-viscosity limit for the incompressible inhomogeneous fluid models of Korteweg type

DOI10.1007/s00033-015-0518-xzbMath1327.76050OpenAlexW2077717511MaRDI QIDQ894891

Jing Yang, Changjiang Zhu, Lei Yao

Publication date: 24 November 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0518-x

zbMATH Keywords

continuation theoremKorteweg typecapillarity-viscosity limitincompressible inhomogeneous fluid

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

Rayleigh-Taylor instability for viscous incompressible capillary fluids ⋮ On the dynamic Rayleigh-Taylor instability in the Euler-Korteweg model ⋮ Stabilizing Effect of Capillarity in the Rayleigh–Taylor Problem to the Viscous Incompressible Capillary Fluids ⋮ Uniform regularity and zero capillarity-viscosity limit for an inhomogeneous incompressible fluid model of Korteweg type in half-space ⋮ Lagrangian Methods for a General Inhomogeneous Incompressible Navier--Stokes--Korteweg System with Variable Capillarity and Viscosity Coefficients ⋮ On Rayleigh-Taylor instability in Navier-Stokes-Korteweg equations ⋮ Energy conservation for the incompressible inhomogeneous Euler–Korteweg equations in a bounded domain ⋮ Energy conservation for the weak solutions to the incompressible inhomogeneous Euler-Korteweg equations

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