A Diffusion Equation for Composite Materials

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dc.contributor.authorEl Hajji, Mohamed
dc.date.accessioned2019-12-18T18:58:42Z
dc.date.available2019-12-18T18:58:42Z
dc.date.issued2000-02-22
dc.description.abstractIn 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.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationEl Hajji, M. (2000). A diffusion equation for composite materials. <i>Electronic Journal of Differential Equations, 2000</i>(15), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9108
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectDiffusion equation
dc.subjectComposite material
dc.subjectAsymptotic behavior
dc.subjectH0-convergence
dc.titleA Diffusion Equation for Composite Materialsen_US
dc.typeArticle

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