University of Birmingham > Talks@bham > Analysis seminar > Global well-posedness for the Thirring Model

Global well-posedness for the Thirring Model

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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.

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