Inferring Filtration Laws from the Spreading of a Liquid Modelled by the Porous Medium Equation

DOI10.1137/18M1188872zbMath1419.35249OpenAlexW2963253426WikidataQ114847157 ScholiaQ114847157MaRDI QIDQ5231224

Ian M. Griffiths, Armin U. Krupp, Colin P. Please

Publication date: 26 August 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1188872

zbMATH Keywords

inverse problemporous medium equationnonlinear diffusiontravelling wave solutionmembrane filtration

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Inverse problems for PDEs (35R30) Nonlinear higher-order PDEs (35G20)

Related Items (1)

Long time behavior of a parabolic \(p\)-Laplacian equation coupled to a compartmental ODE system with an induction threshold phenomenon

Cites Work

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• On the slow draining of a gravity current moving through a layered permeable medium
• Converging gravity currents over a permeable substrate
• The Reversing of Interfaces in Slow Diffusion Processes with Strong Absorption
• Stochastic modelling of membrane filtration
• Gravity-driven flows in porous layers
• Propagation of viscous currents on a porous substrate with finite capillary entry pressure
• Flow and fouling in membrane filters: effects of membrane morphology
• Regularity Propeties of Flows Through Porous Media

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