A generalization of the Darcy-Forchheimer equation involving an implicit, pressure-dependent relation between the drag force and the velocity

DOI10.1016/j.jmaa.2014.11.053zbMath1308.35198OpenAlexW2010080520MaRDI QIDQ482013

Josef Žabenský, Josef Málek, Miroslav Bulíček

Publication date: 19 December 2014

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.11.053

zbMATH Keywords

maximal monotone graphexistence theoryimplicit constitutive theoryDarcy-Forchheimer equationmaximum/minimum principlepressure dependent material coefficient

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Maximum principles in context of PDEs (35B50)

Related Items (6)

Studying a doubly nonlinear model of slightly compressible Forchheimer flows in rotating porous media ⋮ Model adaptation for non-linear elliptic equations in mixed form: existence of solutions and numerical strategies ⋮ Continuous data assimilation via horizontal components for the 3-D Navier-Stokes equations with damping ⋮ Maximum estimates for generalized Forchheimer flows in heterogeneous porous media ⋮ Slightly compressible Forchheimer flows in rotating porous media ⋮ On nonlinear problems of parabolic type with implicit constitutive equations involving flux

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