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- W292596585 abstract "We consider the Cauchy problem [partial_t u+H(x,Du)=0 quad (x,t)inGammatimes (0,T),quad u(x,0)=u_0(x) quad xinGamma] where $Gamma$ is a network and $H$ is a convex and positive homogeneous Hamiltonian which may change from edge to edge. In the former part of the paper, we prove that the Hopf-Lax type formula gives the (unique) viscosity solution of the problem. In the latter part of the paper we study a flame propagation model in a network and an optimal strategy to block a fire breaking up in some part of a pipeline; some numerical simulations are provided." @default.
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- W292596585 date "2014-11-12" @default.
- W292596585 modified "2023-09-27" @default.
- W292596585 title "A flame propagation model on a network with application to a blocking problem" @default.
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