Fluid Mechanics (Meteorology )
Almost axisymmetric flows are important in Meteorology as they model tropical cyclones. From a theoretical point of view, these flows formally approximate the inviscid rotating hydrostatic Boussinesq equations from which they inherit the Hamiltonian structure. Our study will also encompass tropical wave flows which enjoy a similar structure . Below are a few papers dealing with various aspects of this study:
M. Sedjro, On the almost axisymmetric flows with forcing terms, dissertation 2012.
M. Cullen and M. Sedjro, On a model of forced axisymmetric flows. SIAM J. Math. Anal.,Vol. 46, No. 6, pp. 3983-4013, (2014).
M. Cullen, M. Sedjro, and W. Gangbo, A mathematically rigorous analysis of forced axisymmetric flows in the atmosphere. Quarterly J. Roy. Meteorol. Soc., Vol 141, Issue 690, Part A, pp 1836-1844, (2015).
M. Sedjro, A Monge-Ampere equation with an unusual boundary condition. Symmetry, 7(4), pp 2009-2024, (2015).
M. Sedjro Free boundary Monge-Ampere equations ESAIM: Control, Optimisation and Calculus of Variations 28, pp 23 pages (2022).
M. Sedjro and M. Cullen Forecasting cyclones: The Mathematics of tropical cyclones prediction, Mathematics for action, pp 35-36 UNESCO (2022).