Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 137, Pages 118–130 (Mi into209)  
This article is cited in 1 scientific paper (total in 1 paper)

Modeling of the inner structure of tropical cyclones: equation of flow on wind trajectories

H. Fujita Yashima

Ecole Normale Supérieure de Constantine, Algérie
Full-text PDF (234 kB) Citations (1)
Abstract: We consider a system of equations that describes the air motion inside tropical cyclones, including consequences of the condensation of water vapor. We examine the system of nonlinear ordinary differential equations on wind trajectories in the plane of radial and vertical variables. We prove the unique solvability of the system of differential equations on a segment suitable for modeling of tropical cyclones.
Keywords: tropical cyclone, air motion, condensation of water vapor, transport equation, a priori estimate, unique solvability.
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 236, Issue 6, Pages 702–715
DOI: https://doi.org/10.1007/s10958-018-4141-1
Bibliographic databases:
Document Type: Article
UDC: 517.958
MSC: 86A10, 76N10
Language: Russian
Citation: H. Fujita Yashima, “Modeling of the inner structure of tropical cyclones: equation of flow on wind trajectories”, Differential equations. Mathematical physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 137, VINITI, Moscow, 2017, 118–130; J. Math. Sci. (N. Y.), 236:6 (2019), 702–715
Citation in format AMSBIB
\Bibitem{Fuj17}
\by H.~Fujita Yashima
\paper Modeling of the inner structure of tropical cyclones: equation of flow on wind trajectories
\inbook Differential equations. Mathematical physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 137
\pages 118--130
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into209}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801264}
\zmath{https://zbmath.org/?q=an:1412.86003}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 236
\issue 6
\pages 702--715
\crossref{https://doi.org/10.1007/s10958-018-4141-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85059454466}
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  • https://www.mathnet.ru/eng/into/v137/p118
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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