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

Banasiak Jacek | Zendy

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

Author(s) -

Banasiak Jacek

Publication year - 2020

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.6273

Subject(s) - mathematics , renormalization group , asymptotic expansion , class (philosophy) , type (biology) , mathematical physics , renormalization , group (periodic table) , method of matched asymptotic expansions , mathematical analysis , physics , differential equation , quantum mechanics , ecology , artificial intelligence , computer science , biology

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 , ∞ ) .

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