Propagation of fronts of a reaction-convection-diffusion equation
نویسندگان
چکیده
We study the speed of propagating fronts of the convection reaction diffusion equation ut + μuux = uxx + f(u) for reaction terms f(u) such that in the non convective case fronts joining two equilibrium states exist. A variational principle for the wave speed is constructed from which upper and lower bounds are obtained. We find that, in general, there is a transition value μc below which advection has no effect on the speed of the travelling front. Results for the more general case ut+μφ(u)x = uxx+f(u) are also given.
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