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Jung, Chang-Yeol
Analysis and computational methods Lab
Research Interests
  • Analysis, singular perturbations, uncertainty, numerical methods


Analysis of mixed elliptic and parabolic boundary layers with corners

DC Field Value Language Jung, Chang-Yeol ko Gie, Gung-Min ko Temam, Roger ko 2014-04-09T08:23:18Z - 2013-12-02 ko 2013-04 ko
dc.identifier.citation INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, v.2013, pp.532987 ko
dc.identifier.issn 1687-9643 ko
dc.identifier.uri -
dc.description.abstract We study the asymptotic behavior at small diffusivity of the solutions, uε, to a convection-diffusion equation in a rectangular domain. 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 ∂, 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 , 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. ko
dc.description.statementofresponsibility open -
dc.language 영어 ko
dc.title Analysis of mixed elliptic and parabolic boundary layers with corners ko
dc.type ARTICLE ko
dc.identifier.scopusid 2-s2.0-84887688844 ko
dc.type.rims ART ko
dc.description.scopustc 0 * 2014-08-18 *
dc.identifier.doi 10.1155/2013/532987 ko
dc.identifier.url ko
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