Steady-state fingering patterns for a periodic Muskat problem

DOI10.4310/MAA.2013.v20.n1.a2zbMath1291.34042arXiv1303.6724OpenAlexW2962785086MaRDI QIDQ376096

Joachim Escher, Mats Ehrnström, Bogdan-Vasile Matioc

Publication date: 1 November 2013

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6724

zbMATH Keywords

existenceperiodic solutionssteady-state solutionsMuskat problemfingering patterns

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary eigenvalue problems for ordinary differential equations (34B09)

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The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results ⋮ On the Muskat problem ⋮ Bifurcation of equilibrium forms of a gas column rotating with constant speed around its axis of symmetry ⋮ Well-posedness and stability results for some periodic Muskat problems ⋮ Subcritical bifurcation of free elastic shell of biological cluster ⋮ A new reformulation of the Muskat problem with surface tension ⋮ Steady-state solutions for the Muskat problem ⋮ Well-posedness and stability results for a quasilinear periodic Muskat problem ⋮ The domain of parabolicity for the Muskat problem ⋮ Modelling and analysis of the Muskat problem for thin fluid layers ⋮ The Muskat problem with surface tension and equal viscosities in subcritical \(L_p\)-Sobolev spaces ⋮ The Rayleigh-Taylor instability for the verigin problem with and without phase transition

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