2 citations · 4 across the 11 of their papers we have counts for
3 papers · 1 filter
A flame propagation model on a network with application to a blocking problem
Fabio Camilli, Elisabetta Carlini, Claudio Marchi
We consider the Cauchy problem \[\partial_t u+H(x,Du)=0 \quad (x,t)\inΓ\times (0,T),\quad u(x,0)=u_0(x) \quad x\inΓ\] where is a network and is a convex and positive homoge…
A Semi-Lagrangian scheme for a degenerate second order Mean Field Game system
Elisabetta Carlini, Francisco José Silva Álvarez
In this paper we study a fully discrete Semi-Lagrangian approximation of a second order Mean Field Game system, which can be degenerate. We prove that the resulting scheme is well…
A model problem for Mean Field Games on networks
Fabio Camilli, Elisabetta Carlini, Claudio Marchi
In [14], Gueant, Lasry and Lions considered the model problem ``What time does meeting start?'' as a prototype for a general class of optimization problems with a continuum of play…