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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 6, Pages 1315–1330 (Mi smj2498)  
This article is cited in 5 scientific papers (total in 5 papers)

Identification of a coefficient in the leading term of a pseudoparabolic equation of filtration

A. Sh. Lyubanova

Siberian Federal University, Krasnoyarsk, Russia
Full-text PDF (336 kB) Citations (5)
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Abstract: The identification problem of a leading coefficient in a linear pseudoparabolic equation is examined under an integral overdetermination condition on the boundary of a domain. We prove a local existence and uniqueness theorem of a strong solution. In a particular case the results obtained allow us to solve a problem of determining the rate of fluid exchange between fissures and pores in a model filtration equation for a fissured medium.
Keywords: filtration, inverse problems for partial differential equations, pseudoparabolic equation, existence and uniqueness theorem, boundary value problem.
Received: 17.11.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 6, Pages 1046–1058
DOI: https://doi.org/10.1134/S0037446613060116
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. Sh. Lyubanova, “Identification of a coefficient in the leading term of a pseudoparabolic equation of filtration”, Sibirsk. Mat. Zh., 54:6 (2013), 1315–1330; Siberian Math. J., 54:6 (2013), 1046–1058
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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