Two-scale Convergence of a Model for Flow in a Partially Fissured Medium

Simple item page
dc.contributor.authorClark, G. W.
dc.contributor.authorShowalter, Ralph
dc.date.accessioned2019-11-12T20:13:57Z
dc.date.available2019-11-12T20:13:57Z
dc.date.issued1999-01-14
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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationClark, G. W., & Showalter, R. E. (1999). Two-scale convergence of a model for flow in a partially fissured medium. <i>Electronic Journal of Differential Equations, 1999</i>(02), pp. 1-20.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/8795
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, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectFissured medium
dc.subjectHomogenization
dc.subjectTwo-scale convergence
dc.subjectDual permeability
dc.subjectModeling
dc.subjectMicrostructure
dc.titleTwo-scale Convergence of a Model for Flow in a Partially Fissured Medium
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
1999-Clark-Showalter.pdf
Size:
200.61 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations