Convergence of a nonlocal to a local diffuse interface model for two-phase flow with unmatched densities

DOI10.3934/dcdss.2022117OpenAlexW4221144531MaRDI QIDQ2090464

Yutaka Terasawa, Helmut Abels

Publication date: 25 October 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.06101

zbMATH Keywords

non-local operatorstwo-phase flowCahn-Hilliard equationNavier-Stokes equationdiffuse interface modelmixtures of viscous fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Multiphase and multicomponent flows (76T99) Navier-Stokes equations (35Q30) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (3)

Global well-posedness and convergence to equilibrium for the Abels-Garcke-Grün model with nonlocal free energy ⋮ A nonlocal Gray-Scott model: well-posedness and diffusive limit ⋮ Existence and stability of strong solutions to the Abels-Garcke-Grün model in three dimensions

Cites Work

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