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math.AP2014
Bounded traveling waves for a thin film with gravity and insoluble surfactant
Joachim Escher, Matthieu Hillairet, Philippe Laurencot +1
Lubrication equations for a surfactant-driven flow of a thin layer of fluid are considered with a singular surfactant-dependent surface tension. It is shown that there exists a bou…
math.AP2013
A free boundary problem modeling electrostatic MEMS: I. Linear bending effects
Philippe Laurencot, Christoph Walker
The dynamical and stationary behaviors of a fourth-order evolution equation with clamped boundary conditions and a singular nonlocal reaction term, which is coupled to an elliptic…