Faculty of Engineering and Natural Sciences
DIMENSION REDUCTION APPLIED TO A MODEL OF THE SEA BREEZE
ITIR MOGULTAY, PH.D.
University of Chicago
When applied to a system of partial differential equations, dimension-reduction techniques produce a new system which is defined over a smaller dimension. The resulting reduced dimension models are easier to compute with and easier to analyze. In this talk, I will present Galerkin reduction, which is one of the dimension reduction techniques, and its application to a model of the sea breeze. A two-dimensional model of the sea breeze is reduced to a system of one-dimensional partial differential equations. The simpler equations of the reduced model give realistic results when compared with observations. I will also discuss stability and convergence results of the reduced system.
Itır Moğoltay received her Ph.D. degree in 2003 from the Courant Institute of Mathematical Sciences, New York University. She is presently a visiting scholar at the University of Chicago. Her present research focuses mainly on finding and studying simple models, so called “toy models” for certain physical systems such as fluid flows.
August 3, 2007, 14:00, FENS G032