Abstract
We study singular limit of a p-Laplacian reaction-diffusion equation with a spatially inhomogeneous reaction term. The coefficient of the reaction term is much larger than the diffusion coefficient and sharp interfaces appear between two phases. We show by matched asymptotic expansions that the limit equation (interface equation) is a mean curvature flow with drift terms, similar to the case p = 2.
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Lou, B. Singular Limit of a p-Laplacian Reaction-Diffusion Equation with a Spatially Inhomogeneous Reaction Term. Journal of Statistical Physics 110, 377–383 (2003). https://doi.org/10.1023/A:1021083015108
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DOI: https://doi.org/10.1023/A:1021083015108