Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain
Abstract: In this article, we consider a singularly perturbed nonlinear reaction-diffusion equation whose solutions display thin boundary layers near the boundary of the domain. We fully analyse the singular behaviours of the solutions at any given order with respect to the small parameter ε, with suitable asymptotic expansions consisting of the outer solutions and of the boundary layer correctors. The systematic treatment of the nonlinear reaction terms at any given order is novel along the singular perturbation analysis. We believe that the analysis can be suitably extended to other nonlinear problems.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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Boundary layer analysis of nonlinear reaction-diffusion equations in a smooth domain ; volume:6 ; number:3 ; year:2017 ; pages:277-300 ; extent:24
Advances in nonlinear analysis ; 6, Heft 3 (2017), 277-300 (gesamt 24)
- Urheber
- DOI
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10.1515/anona-2015-0148
- URN
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urn:nbn:de:101:1-2405011745308.917264058552
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
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14.08.2025, 10:49 MESZ
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Beteiligte
- Jung, Chang-Yeol
- Park, Eunhee
- Temam, Roger
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