Singular limit of a reaction-diffusion equation with a spatially inhomogeneous reaction term (Q1308057)

The authors study reaction-diffusion equations with a spatially inhomogeneous reaction term. If the coefficient of these reaction term is much larger than the diffusion coefficient, a sharp interface appears between two different phases. The authors show that the equation of motion of such an interface involves a drift term despite the absence of drift in the original diffusion equations. In particular, the authors show that the same rich spatial patterns observed for a chemotaxis-growth model can be realized by a system without a drift term.