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Traveling wave solutions for the combustion model of a shear flow in a cylinder
Author(s) -
Kang Ensil,
Kim Eun Heui,
Lee Jihoon
Publication year - 2016
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.3504
Subject(s) - lewis number , traveling wave , mathematics , cylinder , combustion , flow (mathematics) , shear flow , shear (geology) , mechanics , wave speed , exponential function , mathematical analysis , geometry , physics , geology , chemistry , petrology , organic chemistry , mass transfer
We establish traveling wave solutions for the combustion model of a shear flow in a cylinder. We study two cases: the infinite Lewis number and an arbitrary Lewis number. For the infinite Lewis number, we establish the existence of traveling wave fronts for both non‐minimal and minimal speeds. For an arbitrary Lewis number, we establish the uniform bounds and exponential decay rates. Copyright © 2015 John Wiley & Sons, Ltd.