Trace Theorems for a Class of Ramified Domains with Self-Similar Fractal Boundaries with Nicoletta Tchou
Trace Theorems for a Class of Ramified Domains with Self-Similar Fractal Boundaries with Nicoletta Tchou
SIAM Journal on Mathematical Analysis / SIAM Journal of Mathematical Analysis, springer, 2010, 42 (4), pp.1449-1482.
Mean field games: numerical methods with Italo Capuzzo Dolcetta
SIAM journal of numerical analysis, 48-3, 1136-1162, 2010.
Homogenization of first order equations with u/epsilon-periodic Hamiltonian: Rate of convergence as epsilon tends to 0 and numerical approximation of the effective Hamiltonian with Stefania Patrizi
M3AS, 21,6, 1317-1353, 2011
Mean field games: numerical methods for the planning problem with Italo Capuzzo Dolcetta and F. Camilli
SIAM J. Control Optim.,50,1, 77-109, 2012.
Hamilton-Jacobi equations constrained on networks with Fabio Camilli, Alessandra Cutri and Nicoletta Tchou
Nonlinear Differential Equations and Applications, Springer Verlag (Germany), 2013, 20 (3), pp.413-445.
Mean field games: convergence of a finite difference method with Italo Capuzzo Dolcetta and Fabio Camilli
SIAM journal of numerical analysis,51,5, 2585-2612, 2013.
On numerical approximation of the Hamilton-Jacobi-transport system arising in high frequency approximations with Fabio Camilli and Lucilla Corrias
Discrete and Continuous Dynamical Systems B, 19,3, 629-650 2014
Hamilton-Jacobi equations on networks as limits of singularly perturbed problems in optimal control: dimension reduction with Nicoletta Tchou
Communications in Partial Differential Equations, Taylor & Francis: STM, Behavioural Science and Public Health Titles, 2015, 40 (4), pp.652-693.
On the system of partial differential equations arising in mean field type control with Mathieu Laurière
Discrete and Continuous Dynamical Systems A Volume 35, Issue 9, 2015 Pages 3879-3900.
Hamilton-Jacobi equations for optimal control on junctions and networks with Salomé Oudet and Nicoletta Tchou
Esaim: Control, Optimisation and Calculus of Variations, EDP Sciences, 2015, 21 (3), pp.876-899.
Convergence of a finite difference scheme to weak solutions of the system of partial differential equation arising in mean field games with Alessio Porretta
To appear.
Mean field type control with congestion with Mathieu Laurière
To appear.
Effective transmission conditions for Hamilton-Jacobi equations defined on two domains separated by an oscillatory interface with Salomé Oudet and Nicoletta Tchou
To appear
A Transmission Problem across a Fractal Self-similar Interface with Thibaut Deheuvels
To appear.