Advertisement

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
Article
  • 42 Downloads

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 and phrases

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

AMS Subject Classification

86A10 76N10 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    W. Cotton, G. Bryan, and S. van den Heever, Storm and Cloud Dynamics, Academic Press (2011).Google Scholar
  2. 2.
    K. A. Emanuel, “An air-sea interaction theory for tropical cyclones. Part I: Steady-state maintenance,” J. Atmos. Sci., 43, 585–604 (1986).CrossRefGoogle Scholar
  3. 3.
    S. Ghomrani, J. Marín Antuña, H. Fujita Yashima, “Un modelo de la subida del aire ocasionada por la condensación del vapor y su cálculo numérico,” Rev. Cuba Fís, 32, 3–8 (2015).Google Scholar
  4. 4.
    G. J. Holland, “The maximum potential intensity of tropical cyclones,” J. Atmos. Sci., 54, 2519–2541 (1997).CrossRefGoogle Scholar
  5. 5.
    A. P. Khain, Mathematical Modeling of Tropical Cyclones [in Russian], Gidrometeoizdat, Saint Petersburg (1984).Google Scholar
  6. 6.
    A. K. Kikoin and I. K. Kikoin, Molecular Physics [in Russian], Nauka, Moscow (1976).Google Scholar
  7. 7.
    L. D. Landau and E. M. Lifshitz, Fluid Mechanics, Course of Theoretical Physics, Vol. 6, Pergamon Press (1959).Google Scholar
  8. 8.
    L. T. Matveev, Foundations of General Meteorology. Physics of Atmosphere [in Russian], Gidrometeoizdat, Saint Petersburg (2000).Google Scholar

Copyright information

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

Authors and Affiliations

  1. 1.Ecole Normale Supérieure de ConstantineAli MendjeliAlgérie

Personalised recommendations