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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Instabilities and ill-posedness for the magnetogeostrophic equation

## Instabilities and ill-posedness for the magnetogeostrophic equationAdd to your list(s) Download to your calendar using vCal - Friedlander, S (University of Southern California)
- Tuesday 24 July 2012, 14:00-14:40
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Topological Dynamics in the Physical and Biological Sciences We discuss an active scalar equation that is motivated by a model presented by Keith Moffatt for the geodynamo and magnetogeostrophic turbulence in the Earth’s fluid core. We prove that the non-difusive equation is Lipshitz ill-posed in Sobolev spaces. In contrast, the diffusive equation is globally well-posed. In this case we give an example of a steady state that is nonlinearly unstable, and hence produces a dynamo effect in the sense of an exponentially growing magnetic field. This is joint work with Vlad Vicol. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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