オガワ　トシユキ   OGAWA Toshiyuki   小川　知之    所属   明治大学  総合数理学部    職種   専任教授
言語種別	日本語
発行・発表の年月	2014/01
形態種別	学術雑誌
査読	査読あり
標題	Homogenization and dimension reduction of filtration combustion in heterogeneous thin layers
執筆形態	共著(筆頭者以外)
掲載誌名	Networks and Heterogeneous Media
掲載区分	国外
巻・号・頁	9,709-737頁
著者・共著者	Tasnim Fatima, Ekeoma Ijioma, Toshiyuki Ogawa, Adrian Muntean
概要	We study the homogenization of a reaction-diffusion-convection system posed in an ε-periodic δ-thin layer made of a two-component (solid-air) composite material. The microscopic system includes heat ow, diffusion and convection coupled with a nonlinear surface chemical reaction. We treat two distinct asymptotic scenarios: (1) For a fixed width δ > 0 of the thin layer, we homogenize the presence of the microstructures (the classical periodic homogenization limit ε → 0); (2) In the homogenized problem, we pass to δ → 0 (the vanishing limit of the layer's width). In this way, we are preparing the stage for the simultaneous homogenization (ε → 0) and dimension reduction limit (δ → 0) with δ = δ(ε). We recover the reduced macroscopic equations from [25] with precise formulas for the effective transport and reaction coefficients. We complement the analytical results with a few simulations of a case study in smoldering combustion.
DOI	10.3934/nhm.2014.9.709
ISSN	15561801
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