Journal of Mathematical Sciences

, Volume 236, Issue 6, pp 702–715 | Cite as

Modeling of the Inner Structure of Tropical Cyclones: Equation of Flow on Wind Trajectories

  • H. Fujita YashimaEmail author


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 and phrases

tropical cyclone air motion condensation of water vapor transport equation a priori estimate unique solvability 

AMS Subject Classification

86A10 76N10 


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Ecole Normale Supérieure de ConstantineAli MendjeliAlgérie

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