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Matematicheskie Trudy, 2014, Volume 17, Number 2, Pages 102–131 (Mi mt279)  
This article is cited in 2 scientific papers (total in 2 papers)

On the local solvability of the two-dimensional Hele–Shaw problem with fractional derivative with respect to time

N. V. Vasil'eva, N. V. Krasnoshchek

Institute of Applied Mathematics and Mechanics, Donetsk, 83114 Ukraine
Full-text PDF (343 kB) Citations (2)
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Abstract: We study the two-dimensional quasistationary Stefan probem (the Hele–Shaw problem) in which the motion of the free boundary is described by a “fractional” Darcy law. We prove the existence and uniqueness of a classical solution to the free boundary problem for a small time interval.
Key words: quasistationary Stefan problem, anomalous diffusion, Caputo derivative, regularizer, coercive estimate.
Received: 02.07.2014
English version:
Siberian Advances in Mathematics, 2015, Volume 25, Issue 4, Pages 276–296
DOI: https://doi.org/10.3103/S1055134415040057
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. V. Vasil'eva, N. V. Krasnoshchek, “On the local solvability of the two-dimensional Hele–Shaw problem with fractional derivative with respect to time”, Mat. Tr., 17:2 (2014), 102–131; Siberian Adv. Math., 25:4 (2015), 276–296
Citation in format AMSBIB
\Bibitem{VasKra14}
\by N.~V.~Vasil'eva, N.~V.~Krasnoshchek
\paper On the local solvability of the two-dimensional Hele--Shaw problem with fractional derivative with respect to time
\jour Mat. Tr.
\yr 2014
\vol 17
\issue 2
\pages 102--131
\mathnet{http://mi.mathnet.ru/mt279}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3330053}
\transl
\jour Siberian Adv. Math.
\yr 2015
\vol 25
\issue 4
\pages 276--296
\crossref{https://doi.org/10.3103/S1055134415040057}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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