Well-posedness and qualitative behaviour of solutions for a two-phase Navier-Stokes-Mullins-Sekerka system

DOI10.4171/IFB/294zbMath1302.35457arXiv1201.0179OpenAlexW2963958190MaRDI QIDQ361775

Helmut Abels, Mathias Wilke

Publication date: 19 August 2013

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0179

zbMATH Keywords

two-phase flowfree boundary problemsNavier-Stokes systemconvergence to equilibriaMullins-Sekerka equation

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) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Capillarity (surface tension) for incompressible viscous fluids (76D45) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (11)

Qualitative Behaviour of Incompressible Two-Phase Flows with Phase Transitions: The Case of Non-Equal Densities ⋮ The Sharp Interface Limit of a Navier–Stokes/Allen–Cahn System with Constant Mobility: Convergence Rates by a Relative Energy Approach ⋮ Sharp Interface Limit for a Navier–Stokes/Allen–Cahn System with Different Viscosities ⋮ Remarks on sharp interface limit for an incompressible Navier-Stokes and Allen-Cahn coupled system ⋮ Sharp Interface Limits for Diffuse Interface Models for Two-Phase Flows of Viscous Incompressible Fluids ⋮ Well-posedness and qualitative behaviour of the Mullins-Sekerka problem with ninety-degree angle boundary contact ⋮ Sharp interface limit of a Stokes/Cahn-Hilliard system. I: Convergence result ⋮ Well-posedness of a Navier-Stokes/mean curvature flow system ⋮ Sharp interface limit for a Stokes/Allen-Cahn system ⋮ Classical solutions for a modified Hele-Shaw model with elasticity ⋮ On a linearized Mullins-Sekerka/Stokes system for two-phase flows

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