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Analysis of Mixed Elliptic and Parabolic Boundary Layers with Corners
Joint Authors
Jung, Chang-Yeol
Temam, Roger
Gie, Gung-Min
Source
International Journal of Differential Equations
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-12
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study the asymptotic behavior at small diffusivity of the solutions, uε, to a convection-diffusion equation in a rectangular domain Ω.
The diffusive equation is supplemented with a Dirichlet boundary condition, which is smooth along the edges and continuous at the corners.
To resolve the discrepancy, on ∂Ω, between uε and the corresponding limit solution, u0, we propose asymptotic expansions of uε at any arbitrary, but fixed, order.
In order to manage some singular effects near the four corners of Ω, the so-called elliptic and ordinary corner correctors are added in the asymptotic expansions as well as the parabolic and classical boundary layer functions.
Then, performing the energy estimates on the difference of uε and the proposed expansions, the validity of our asymptotic expansions is established in suitable Sobolev spaces.
American Psychological Association (APA)
Gie, Gung-Min& Jung, Chang-Yeol& Temam, Roger. 2013. Analysis of Mixed Elliptic and Parabolic Boundary Layers with Corners. International Journal of Differential Equations،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-479313
Modern Language Association (MLA)
Gie, Gung-Min…[et al.]. Analysis of Mixed Elliptic and Parabolic Boundary Layers with Corners. International Journal of Differential Equations No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-479313
American Medical Association (AMA)
Gie, Gung-Min& Jung, Chang-Yeol& Temam, Roger. Analysis of Mixed Elliptic and Parabolic Boundary Layers with Corners. International Journal of Differential Equations. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-479313
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479313