Preprint 2004-014

A Mathematical Model for Hurricanes

Alain-Yves LeRoux and Marie-NoŽlle LeRoux

Abstract: The source waves are some particular solutions to genuinely non linear hyperbolic systems with a source term, whose propagation velocity is a constant determined by the roots of this source term. We propose a system of 2 equations on a 2 dimension space, which modelizes the velocity field of the atmosphere near the ground. The source term is made of three parts: a given pressure gradient, a friction or suction effect and the Coriolis force. In the case where these parameters are constant, we build a solution which is a constant outside a circular crown. The internal circle represents the eye wall of the hurricane and corresponds to a share shock wave. The external circle is a set generating the bifurcation which actually modelizes the hurricane.



Paper:
Available as Postscript (2.0 Mbytes) or gzipped PostScript (504 Kbytes; uncompress using gunzip).
Author(s):
Alain-Yves LeRoux, <Alain-Yves.leroux@math.u-bordeaux1.fr>
Marie-NoŽlle LeRoux, <Marie-Noelle.leroux@math.u-bordeaux1.fr>
Publishing information:
Comments:
Submitted by:
<Alain-Yves.leroux@math.u-bordeaux1.fr> April 21 2004.


[ 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <conservation@math.ntnu.no>
Last modified: Wed Apr 21 14:14:36 MEST 2004