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 $\Gamma$ is a network and $H$ is a convex and positive homoge…