On the almost axisymmetric flows with forcing terms

Wasserstein space;Boussinesq;Monge-Ampère equations;Axisymmetric flows;Hamiltonian system

Sedjro, Marc Mawulom ; Mathematics

University:Georgia Institute of Technology

Department:Mathematics

关键词: Wasserstein space;    Boussinesq;    Monge-Ampère equations;    Axisymmetric flows;    Hamiltonian system;   

Others  :  https://smartech.gatech.edu/bitstream/1853/44879/1/sedjro_marc_m_201208_phd.pdf

美国|英语

来源: SMARTech Repository

【 摘 要 】

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 AlmostAxisymmetric Flows with a forcing term model.