A Diffusion Equation for Composite Materials
dc.contributor.author | El Hajji, Mohamed | |
dc.date.accessioned | 2019-12-18T18:58:42Z | |
dc.date.available | 2019-12-18T18:58:42Z | |
dc.date.issued | 2000-02-22 | |
dc.description.abstract | In this article, we study the asymptotic behavior of solutions to the diffusion equation with non-homogeneous Neumann boundary conditions. This equation models a composite material that occupies a perforated domain, in ℝN, with small holes whose sizes are measured by a number r∊. We examine the case when rε < εN/(N-2) with zero-average data around the holes, and the case when limε→0 rε/ε = 0 with nonzero-average data. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 11 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | El Hajji, M. (2000). A diffusion equation for composite materials. Electronic Journal of Differential Equations, 2000(15), pp. 1-11. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/9108 | |
dc.language.iso | en | |
dc.publisher | Southwest Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Diffusion equation | |
dc.subject | Composite material | |
dc.subject | Asymptotic behavior | |
dc.subject | H0-convergence | |
dc.title | A Diffusion Equation for Composite Materials | en_US |
dc.type | Article |