On the Almost Axisymmetric Flows with Forcing Terms

Series
Dissertation Defense
Time
Tuesday, June 19, 2012 - 10:00am for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Marc Sedjro – School of Mathematics, Georgia Tech
Organizer
Wilfrid Gangbo
This work is concerned with the Almost Axisymmetric Flows with Forcing Terms which are derived from the inviscid Boussinesq equations. It is our hope that these flows will be useful in Meteorology to describe tropical cyclones. We show that these flows give rise to a collection of Monge-Ampere equations for which we prove an existence and uniqueness result. What makes these equations unusual is the boundary conditions they are expected to satisfy and the fact that the boundary is part of the unknown. Our study allows us to make inferences in a toy model of the Almost Axisymmetric Flows with Forcing Terms.