In the fast reaction limit of an asymmetric two-component reaction-diffusion system with only one diffusing component, nonnegative mutually segregated initial data lead to instantaneous vanishing of the initial interface, with the diffusive component converging uniformly to the heat equation and the
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Vanishing interfaces in an asymmetric fast reaction limit
In the fast reaction limit of an asymmetric two-component reaction-diffusion system with only one diffusing component, nonnegative mutually segregated initial data lead to instantaneous vanishing of the initial interface, with the diffusive component converging uniformly to the heat equation and the