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Geometric Analysis and Partial Differential Equations Seminar
May 22, 2013 @ 10:30 am - 11:30 pm
Dr Jiakun Liu (University of Wollongong)
An introduction to optimal mass transport
Optimal mass transport is a very active research area nowadays, which deals with the redistribution of materials in the most economical way. There are numerous practical applications of optimal mass transport, such as in optics, engineering and economics. On the theoretical side, it is closely related to PDE, differential geometry and functional analysis. In this talk, we will give a general introduction of the mass transport problem and will study the existence, uniqueness and smoothness of the optimal mapping.