Vladimir Danilov, Georgii Omel'yanov, & Daniil Rozenknop
Abstract:
We discuss the possibility of using calculating singularities
to forecast the dynamics of hurricanes.
Our basic model is the shallow-water system.
By treating the hurricane eye as a vortex type singularity and
truncating the corresponding sequence of Hugoniot type
conditions, we carry out many numerical experiments.
The comparison of our results with the tracks of three actual
hurricanes shows that our approach is rather fruitful.
Submitted November 7, 2001. Published February 18, 2002.
Math Subject Classifications: 35D99, 86A10.
Key Words: asymptotic behavior, forecast, hurricane.
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Vladimir Danilov Moscow State Institute of Electronics and Mathematics, B. Trekhsvyatitel'skii per., 3/12, Moscow 109028, Russia e-mail: pm@miem.edu.ru |
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Georgii Omel'yanov Moscow State Institute of Electronics and Mathematics, B. Trekhsvyatitel'skii per., 3/12, Moscow 109028, Russia |
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Daniil Rozenknop Moscow State Institute of Electronics and Mathematics, B. Trekhsvyatitel'skii per., 3/12, Moscow 109028, Russia |
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