55 citations · 182 across the 40 of their papers we have counts for
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math.AP2011★ 36 cited
A gradient flow approach to a thin film approximation of the Muskat problem
Philippe Laurencot, Bogdan-Vasile Matioc
A fully coupled system of two second-order parabolic degenerate equations arising as a thin film approximation to the Muskat problem is interpreted as a gradient flow for the 2-Was…
math.AP2011
Non-negative global weak solutions for a degenerate parabolic system modeling thin films driven by capillarity
Bogdan-Vasile Matioc
We prove global existence of nonnegative weak solutions for a strongly coupled, fourth order degenerate parabolic system governing the motion of two thin fluid layers in a porous m…
math.AP2011★ 24 cited
Existence and stability of weak solutions for a degenerate parabolic system modelling two-phase flows in porous media
Joachim Escher, Philippe Laurencot, Bogdan-Vasile Matioc
We prove global existence of nonnegative weak solutions to a degenerate parabolic system which models the interaction of two thin fluid films in a porous medium. Furthermore, we sh…