Summary
The authors give four examples of inverse problems related to fluid flow in a porous media. These are the problems of identifying am unknown source term, and unknown diffusivity, an unknown porosity, and both an unknown diffusivity and porosity. The authors show how these problems can be recast, into problems whose equations are well-defined differential equations with trace type functional coefficients. The authors conclude with a discussion of the reformulated problems.
Acknowledgement: supported in part by NSF grant DMS-8901301 and in part by the Texas Advanced Technology Program Grant No. 003581-005.
Acknowledgement: supported in part by ONR contact number N00014-K-0224.
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References
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© 1991 Springer Science+Business Media Dordrecht
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Cannon, J.R., DuChateau, P., Steube, K. (1991). Trace Type Functional Differential Equations and the Identification of Hydraulic Properties of Porous Media. In: Dagan, G., Hornung, U., Knabner, P. (eds) Mathematical Modeling for Flow and Transport Through Porous Media. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2199-8_15
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DOI: https://doi.org/10.1007/978-94-017-2199-8_15
Publisher Name: Springer, Dordrecht
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