**UM Math Graduate Students Seminar**

Armando Cabrera

*University of Miami*

**will present**

**An introduction to Lagrangian Coherent Structures **

Friday, November 18, 2011, 4:00pm

Ungar Building Room 402

**Abstract:**Early in the morning we drink our first cup of coffee of the day. We add to our coffee some cream (at least some of us), after a few seconds (if we don't mix it), some funny shapes start to form. Why does the cream in our coffee have these patterns? Can we understand them? Perhaps our cream doesn't move as freely as we thought. These questions lead us to the study of transport in chaotic fluids (yes, our morning coffee is chaotic). In this talk I will give a very intuitive introduction to how these "structures", known as Lagrangian Coherent Structures (LCSs), are understood through math. It will include some differential geometry combined with dynamical systems. I will motivate their study with applications they have to oceans' dynamics modeling and I hope this will give you an idea of why I consider this an interesting problem.

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