Front propagation into an unstable state of reaction-transport systems.
We studied the propagation of traveling fronts into an unstable state of the reaction-transport systems involving integral transport. By using a hyperbolic scaling procedure and singular perturbation techniques, we determined a Hamiltonian structure of reaction-transport equations. This structure allowed us to derive asymptotic formulas for the propagation rate of a reaction front. We showed that the macroscopic dynamics of the front are "nonuniversal" and depend on the choice of the underlying random walk model for the microscopic transport process.
Fedotov
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Mathematics Department, UMIST, Manchester, United Kingdom. sergei.fedotov@umist.ac.uk