Continuity of the saturation in the flow of two immiscible fluids in a porous medium

DOI10.1512/IUMJ.2010.59.4004zbMath1246.35110OpenAlexW1985281038MaRDI QIDQ2879956

Emmanuele DiBenedetto, Ugo Gianazza, Vincenzo Vespri

Publication date: 10 April 2012

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: http://www.iumj.indiana.edu/IUMJ/ABS/2010/4004

zbMATH Keywords

flow of two immiscible fluidsBuckley-Leverett couplingdegenerate elliptic parabolic systemsKruzkov-Sukorjanski transformation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)

Related Items (4)

Obituary: In memoriam Emmanuele DiBenedetto (1947--2021) ⋮ A family of steady two-phase generalized Forchheimer flows and their linear stability analysis ⋮ On the logarithmic type boundary modulus of continuity for the Stefan problem. To the memory of Emmanuele DiBenedetto ⋮ On the double degenerate equation \(u_t - \text{div} a(x,t,u, \nabla u) = b(x,t,u,\nabla u)\)

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