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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 137, Pages 118–130
(Mi into209)
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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
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.
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
Linking options:
https://www.mathnet.ru/eng/into209 https://www.mathnet.ru/eng/into/v137/p118
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Statistics & downloads: |
Abstract page: | 273 | Full-text PDF : | 86 | First page: | 32 |
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