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A viscosity solution method for the spreading speed formula in slowly varying media

A viscosity solution method for the spreading speed formula in slowly varying media

In this paper, we consider reaction-diffusion-advection equations in slowly periodically oscillating media.We prove the existence of and we give explicit expressions of the asymptotic spreading speeds of invasion of the unstable state 0 in any direction, when the period of the invaded medium becomes infinitely large.The limiting spreading speeds involve …