Classical solutions for a one-phase osmosis model

DOI10.1007/s00028-012-0138-2zbMath1254.35250OpenAlexW2089032807MaRDI QIDQ692819

Georg Prokert, Friedrich-Matthias Lippoth

Publication date: 6 December 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://research.tue.nl/nl/publications/classical-solutions-for-a-one-phase-osmosis-model(b3a99900-ffe4-4769-a7b1-0bb2821679c2).html

zbMATH Keywords

moving boundary problemmaximal continuous regularity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Moving boundary problems for PDEs (35R37)

Related Items (7)

Stability of equilibria of a two-phase Stokes-osmosis problem ⋮ Well-posedness of a parabolic free boundary problem driven by diffusion and surface tension ⋮ A moving boundary problem for the Stokes equations involving osmosis: Variational modelling and short-time well-posedness ⋮ On the blow up scenario for a class of parabolic moving boundary problems ⋮ Stability of equilibria for a two-phase osmosis model ⋮ Diffuse-Interface Approximations of Osmosis Free Boundary Problems ⋮ Mass conservative reduced order modeling of a free boundary osmotic cell swelling problem

Cites Work

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• On the blow up scenario for a class of parabolic moving boundary problems
• Maximal \(L_p\)-regularity of parabolic problems with boundary dynamics of relaxation type
• Modelling the swelling assay for aquaporin expression
• Square roots of elliptic second order divergence operators on strongly Lipschitz domains: \(L ^{2}\) theory
• Classical solutions for Hele-Shaw models with surface tension
• Classical solutions to a moving boundary problem for an elliptic-parabolic system
• Maximal space regularity in nonhoomogeneous initial boundary value parabolic problem
• Classical Solutions of Multidimensional Hele--Shaw Models

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