Global well-posedness for the Thirring Model

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• Tim Candy (Imperial College London)
• Wednesday 10 October 2012, 16:00-17:00
• Watson Building, R17/18.

If you have a question about this talk, please contact Neal Bez.

We discuss some recent results regarding the global well-posedness of the Thirring model. The Thirring model is a cubic Dirac equation which models the self interaction of a Dirac field. In higher dimensions, n>3, a satisfactory global theory can be obtained via Strichartz estimates. On the other hand, in low dimensions the dispersion is weaker and to obtain a global theory we need to exploit the additional null structure which is present in the model. In the n=1 case, we obtain global well-posedness from the charge class, or data in L². The L² norm is scale invariant and thus this result is sharp. If time permits we will also discuss some open problems regarding the n=2,3 cases.

This talk is part of the Analysis seminar series.

This talk is included in these lists:

• Analysis seminar
• Analysis seminar
• School of Mathematics events
• Watson Building, R17/18

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