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math.AP2023★ 1 cited
A Lagrange-Galerkin scheme for first order mean field games systems
E Carlini, Francisco José Silva, Ahmad Zorkot
In this work, we consider a first order mean field games system with non-local couplings. A Lagrange-Galerkin scheme for the continuity equation, coupled with a semi-Lagrangian sch…
math.AP2014
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…