Stability of equilibria of a two-phase Stokes-osmosis problem

DOI10.4171/IFB/361zbMath1349.35437OpenAlexW1834851777MaRDI QIDQ344470

Georg Prokert, Friedrich-Matthias Lippoth

Publication date: 22 November 2016

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

Full work available at URL: https://doi.org/10.4171/ifb/361

zbMATH Keywords

moving boundary problemosmosismaximal \(L_p\)-regularitytwo-phase Stokes equationsvariational modelling

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Variational methods applied to problems in fluid mechanics (76M30) Stokes and related (Oseen, etc.) flows (76D07) Moving boundary problems for PDEs (35R37)

Related Items (1)

Well-Posedness for a moving boundary model of an evaporation front in a porous medium

Cites Work

• Stability of equilibria for a two-phase osmosis model
• Classical solutions for a one-phase osmosis model
• Maximal \(L_p\)-regularity of parabolic problems with boundary dynamics of relaxation type
• A center manifold analysis for the Mullins-Sekerka model
• Classical solutions to a moving boundary problem for an elliptic-parabolic system
• Mixed and Hybrid Finite Element Methods
• A moving boundary problem for the Stokes equations involving osmosis: Variational modelling and short-time well-posedness

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