For more information about this meeting, contact Kris Jenssen, Hope Shaffer, Yuxi Zheng.
| Title: | Introduction to the theory of nonlinear resonances |
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| Seminar: | Computational and Applied Mathematics Colloquium |
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| Speaker: | Elena Kartashova, Johannes Kepler University, Linz, Austria |
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| Abstract: |
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| Nonlinear resonances are ubiquitous in physics. Famous
experiments of Tesla show how disastrous resonances can be: he
studied experimentally vibrations of an iron column which ran
downward into the foundation of the building, and caused sort of a
small earthquake in Manhattan, with smashed windows and swayed
buildings. Nonlinear resonances appear in hydrodynamics, mechanics,
astronomy, etc. etc. - and usually they are studied in the frame of one
specific application area.
In this talk we present some general methods (i.e. independent of an
application area) from the theory of nonlinear resonances, which allow us
to 1) find solutions of kinematic resonance conditions; 2) write out
explicitly dynamical systems describing resonantly interacting waves; 3)
solve these dynamical systems, whether analytically or numerically. We
will show how these methods work, taking atmospheric planetary waves as
our main example. |
Room Reservation Information
| Room Number: | MB106 |
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| Date: | 11 / 21 / 2008 |
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| Time: | 03:35pm - 04:25pm |
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