Geodesic
Modeling of the inner structure of tropical cyclones: equation of flow on wind trajectories
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical physics, Tome 137 (2017), pp. 118-130.

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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, condensation of water vapor, a priori estimate, unique solvability.
Mots-clés : air motion, transport equation 
@article{INTO_2017_137_a7,
     author = {H. Fujita Yashima},
     title = {Modeling of the inner structure of tropical cyclones: equation of flow on wind trajectories},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {118--130},
     publisher = {mathdoc},
     volume = {137},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_137_a7/}
}
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H. Fujita Yashima. Modeling of the inner structure of tropical cyclones: equation of flow on wind trajectories. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical physics, Tome 137 (2017), pp. 118-130. http://geodesic.mathdoc.fr/item/INTO_2017_137_a7/