Show simple item record

dc.contributor.authorClark, G. W. ( )
dc.contributor.authorShowalter, Ralph ( Orcid Icon 0000-0001-5479-4633 )
dc.date.accessioned2019-11-12T20:13:57Z
dc.date.available2019-11-12T20:13:57Z
dc.date.issued1999-01-14
dc.identifier.citationClark, G. W., & Showalter, R. E. (1999). Two-scale convergence of a model for flow in a partially fissured medium. Electronic Journal of Differential Equations, 1999(02), pp. 1-20.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/8795
dc.description.abstractThe distributed-microstructure model for the flow of single phase fluid in a partially fissured composite medium due to Douglas-Peszynska-Showalter [12] is extended to a quasi-linear version. This model contains the geometry of the local cells distributed throughout the medium, the flux exchange across their intricate interface with the imbedded fissure system, and the secondary flux resulting from diffusion paths within the matrix. Both the exact but highly singular micro-model and the macro-model are shown to be well-posed, and it is proved that the solution of the micro-model is two-scale convergent to that of the macro-model as the spatial parameter goes to zero. In the linear case, the effective coefficients are obtained by a partial decoupling of the homogenized system.en_US
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.language.isoen_USen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectFissured mediumen_US
dc.subjectHomogenizationen_US
dc.subjectTwo-scale convergenceen_US
dc.subjectDual permeabilityen_US
dc.subjectModelingen_US
dc.subjectMicrostructureen_US
dc.titleTwo-scale Convergence of a Model for Flow in a Partially Fissured Mediumen_US
txstate.documenttypeArticle
dc.rights.licenseCreative Commons Attribution 4.0 International License https://creativecommons.org/licenses/by/4.0/


Download

Thumbnail

This item appears in the following Collection(s)

Show simple item record