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Some remarks on the renormalization group and Chapman‐Enskog type methods in singularly perturbed problems

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In this paper, we show that for a large class of singularly perturbed problems, the classical Chapman‐Enskog asymptotic procedure leads, in a shorter way, to the same asymptotic expansion as… Click to show full abstract

In this paper, we show that for a large class of singularly perturbed problems, the classical Chapman‐Enskog asymptotic procedure leads, in a shorter way, to the same asymptotic expansion as the renormalization group (RG) approach. We also prove that the Chapman‐Enskog expansion gives the expected error estimates uniformly on [0,∞) .

Keywords: perturbed problems; singularly perturbed; chapman enskog; renormalization group

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020

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