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(Non) Blow-up mechanisms in the Landau-Coulomb equation

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FKTW03 - Frontiers in kinetic equations for plasmas and collective behaviour

In this talk, we consider the Landau equation with Coulomb potential and show that approximate Type I self-similar blow-up profiles do not exist.  We also show that, if singularities occur, the set of the singular times has Hausdorff dimension at most 1/2.  The first result is joint work with J. Bedrossian and S. Snelson; the second result is joint work with F. Golse, C. Imbert, and A. Vasseur. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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