84 citations · 340 across the 25 of their papers we have counts for
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math.AP2010★ 12 cited
Smooth type II blow up solutions to the four dimensional energy critical wave equation
Matthieu Hillairet, Pierre Raphaël
We exhibit type II blow up solutions to the focusing energy critical wave equation in dimension . These solutions admit near blow up time a decomposiiton…
math.AP2010
Global weak solutions for a degenerate parabolic system modeling the spreading of insoluble surfactant
Joachim Escher, Matthieu Hillairet, Philippe Laurencot +1
We prove global existence of a nonnegative weak solution to a degenerate parabolic system, which models the spreading of insoluble surfactant on a thin liquid film.
math.AP2010★ 1 cited
Thin Film Equations with Soluble Surfactant and Gravity: Modeling and Stability of Steady States
Joachim Escher, Matthieu Hillairet, Philippe Laurençot +1
A thin film on a horizontal solid substrate and coated with a soluble surfactant is considered. The governing degenerate parabolic equations for the film height and the surfactant…