Event

The Department of Mathematics and Statistics cordially invites you to a seminar by Professor Emeritus Jean-Andre Marti on the study the destructive machinery of the hurricane’s eye, titled The Hurricane Eye’s Wall on Thursday November 8, from 1pm to 2pm.

Abstract: 

Some major hurricanes such as Maria of a category 5 have completely destroyed in 2017 many Caribbean islands as Dominica, Barbuda, the French part of St. Martin and seriously damaged Puerto Rico, Haiti, Cuba, British Virgin Islands and a large part of Miami in Florida. The total number of dead people is at least 547. The maximum wind velocity was 350km/h.This catastrophic event gives a good motivation to study more closely the problem and we propose a new approach of it. The hurricanes trackers are now well forecasted but we cannot change them. But we can study the destructive machinery of the hurricane’s eye, not well known.

The talk is devoted to the study of the structurer of the hurricane’s eye and its border, the eye’s wall, following previous results from Le Roux and Marti. A jumping solution across the eye’s wall to the Mercator projection of the Euler equations leads to a new result stated by Le Roux in a recent but unpublished manuscript: in a given hurricane model the wind speed (at the sea level) has a discontinuous jump tangent to the 2D curve of the eye’s wall. Here we develop a generalized functional framework which permits a mathematical proof of the result. The 2D study, with a symmetry of revolution hypothesis, can be interpreted as the basis of the 3D one, the model will be reduced to a system hyperbolic nonlinear of two equations in which the altitude z can be interpreted as a real evolution variable. The purpose of this model is to contribute to a better understanding of the cyclonic phenomenon.