370 citations · 902 across the 32 of their papers we have counts for
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math.AP2011★ 75 cited
A Hamilton-Jacobi approach to junction problems and application to traffic flows
Cyril Imbert, Régis Monneau, Hasnaa Zidani
This paper is concerned with the study of a model case of first order Hamilton-Jacobi equations posed on a "junction", that is to say the union of a finite number of half-lines wit…
math.AP2011★ 2 cited
Lipschitz Regularity of Solutions for Mixed Integro-Differential Equations
Guy Barles, Emmanuel Chasseigne, Adina Ciomaga +1
We establish new Hoelder and Lipschitz estimates for viscosity solutions of a large class of elliptic and parabolic nonlinear integro-differential equations, by the classical Ishii…
math.AP2011★ 5 cited
Electrified thin films: Global existence of non-negative solutions
Cyril Imbert, Antoine Mellet
We consider an equation modeling the evolution of a viscous liquid thin film wetting a horizontal solid substrate destabilized by an electric field normal to the substrate. The eff…