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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 12, Pages 21–29 (Mi ivm8402)  
This article is cited in 3 scientific papers (total in 3 papers)

Exact solutions of two limiting quasistationary electrochemical shaping

V. P. Zhitnikov, E. M. Oshmarina, G. I. Fedorova

Ufa State Aviation Technical University, Ufa, Russia
Full-text PDF (248 kB) Citations (3)
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Abstract: We model the precision electrochemical machining with the help of a jump-like current efficiency function, assuming that in the working area of the machined surface the current density takes on the critical value. We formulate and solve limiting quasistationary shaping problems, which allows us to study a nonstationary process with sufficient accuracy.
Keywords: nonstationary Hele–Shaw problem, quasistationary approximation, analytic functions, conformal mapping.
Received: 11.11.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 12, Pages 16–22
DOI: https://doi.org/10.3103/S1066369X11120036
Bibliographic databases:
Document Type: Article
UDC: 517.544+621.9
Language: Russian
Citation: V. P. Zhitnikov, E. M. Oshmarina, G. I. Fedorova, “Exact solutions of two limiting quasistationary electrochemical shaping”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 12, 21–29; Russian Math. (Iz. VUZ), 55:12 (2011), 16–22
Citation in format AMSBIB
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\by V.~P.~Zhitnikov, E.~M.~Oshmarina, G.~I.~Fedorova
\paper Exact solutions of two limiting quasistationary electrochemical shaping
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 12
\pages 21--29
\mathnet{http://mi.mathnet.ru/ivm8402}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2963460}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 12
\pages 16--22
\crossref{https://doi.org/10.3103/S1066369X11120036}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856261604}
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  • https://www.mathnet.ru/eng/ivm/y2011/i12/p21
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:42
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