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Contemporary Mathematics. Fundamental Directions, 2007, Volume 21, Pages 133–148 (Mi cmfd81)  
This article is cited in 7 scientific papers (total in 7 papers)

On the estimate of lifetime for solutions of the Cauchy–Kovalevskaya system with examples in hydrodynamics of ideal fluid with free surface

R. V. Shamin

P. P. Shirshov institute of Oceanology of RAS
Full-text PDF (286 kB) Citations (7)
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Abstract: Equations describing nonstationary flow of ideal fluid with free surface are considered. They are investigated in conformal variables. For such equations, the correct solvability is proved in a scale of spaces of analytic functions. Constructive methods of estimation of lifetime of solutions for such equations are developed and justified. An example of numerical calculation by these methods is given.
English version:
Journal of Mathematical Sciences, 2008, Volume 153, Issue 5, Pages 612–628
DOI: https://doi.org/10.1007/s10958-008-9139-7
Bibliographic databases:
UDC: 517.957
Language: Russian
Citation: R. V. Shamin, “On the estimate of lifetime for solutions of the Cauchy–Kovalevskaya system with examples in hydrodynamics of ideal fluid with free surface”, Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A. L. Skubachevskii (Peoples' Friendship University of Russia), CMFD, 21, PFUR, M., 2007, 133–148; Journal of Mathematical Sciences, 153:5 (2008), 612–628
Citation in format AMSBIB
\Bibitem{Sha07}
\by R.~V.~Shamin
\paper On the estimate of lifetime for solutions of the Cauchy--Kovalevskaya system with examples in hydrodynamics of ideal fluid with free surface
\inbook Proceedings of the Seminar on Differential and Functional Differential Equations supervised by A.~L.~Skubachevskii (Peoples' Friendship University of Russia)
\serial CMFD
\yr 2007
\vol 21
\pages 133--148
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd81}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2336495}
\zmath{https://zbmath.org/?q=an:1159.35401}
\transl
\jour Journal of Mathematical Sciences
\yr 2008
\vol 153
\issue 5
\pages 612--628
\crossref{https://doi.org/10.1007/s10958-008-9139-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-54249136226}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
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