Time asymptotics of non-Darcy flows controlled by total flux on the boundary

DOI10.1007/s10958-012-0875-3zbMath1430.76437OpenAlexW2048664172MaRDI QIDQ690813

Eugenio Aulisa, Akif Ibragimov, Lidia Bloshanskaya

Publication date: 29 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0875-3

zbMATH Keywords

productivity indexdiffusive capacitynonlinear Forchheimer flowpressure average

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Related Items (2)

Well productivity index for compressible fluids and gases ⋮ Fracture model reduction and optimization for Forchheimer flows in reservoirs

Cites Work

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• Structure of the dependence of Darcy and Forchheimer coefficients on porosity
• Degenerate parabolic equations
• Continuous dependence and decay for the Forchheimer equations
• Structural stability of generalized Forchheimer equations for compressible fluids in porous media
• Analysis of generalized Forchheimer flows of compressible fluids in porous media
• Long-term dynamics for well productivity index for nonlinear flows in porous media
• ON A HIERARCHY OF APPROXIMATE MODELS FOR FLOWS OF INCOMPRESSIBLE FLUIDS THROUGH POROUS SOLIDS
• On a Mathematical Model of the Productivity Index of a Well from Reservoir Engineering
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)

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