Stability of the equilibria for spatially periodic flows in porous media

DOI10.1016/S0362-546X(99)00434-4zbMath0986.35017OpenAlexW2081385553WikidataQ127008594 ScholiaQ127008594MaRDI QIDQ5945667

Georg Prokert, Joachim Escher

Publication date: 13 June 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00434-4

zbMATH Keywords

exponential stabilityStefan problemlinearized stabilityfully nonlinear parabolic equationperiodic boundary conditions in the unbounded space directionsstable manifold

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Initial-boundary value problems for second-order parabolic equations (35K20) Flows in porous media; filtration; seepage (76S05) Free boundary problems for PDEs (35R35)

Related Items (4)

On periodic Stokesian Hele-Shaw flows with surface tension ⋮ Strong solutions of semilinear matched microstruture models ⋮ Stabilization of free surface flows in periodic porous media ⋮ Multidimensional Hele-Shaw flows modelling Stokesian fluids

Cites Work

• Investigation of solvability of the multidimensional two-phase Stefan and nonstationary filtration Florin problems for second order parabolic equations in weighted Hölder spaces of functions
• Unsteady flow in porous media with a free surface
• Parabolic equations for curves on surfaces. I: Curves with \(p\)-integrable curvature
• Maximal regularity for a free boundary problem
• Analyticity of the interface in a free boundary problem
• Nonlinear analytic semiflows
• STABLE EQUILIBRIA TO ELLIPTIC EQUATIONS IN UNBOUNDED DOMAINS WITH NONLINEAR DYNAMIC BOUNDARY CONDITIONS
• Analytic semigroups and optimal regularity in parabolic problems
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