Irregular transport and loss of regularity for transport equations

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• Anna Mazzucato (Pennsylvania State University)
• Tuesday 15 March 2022, 14:00-15:00
• CMS, MR14.

If you have a question about this talk, please contact Daniel Boutros.

I will present recent results concerning examples of loss of regularity for solutions to linear transport equations with advecting field in Sobolev spaces below the Lipschitz class. I will discuss how this loss is generic and can be made instantaneous and total (that is, there exist smooth initial data for which the solution leaves instantaneously any Sobolev space of positive order).

This is joint work with Giovanni Alberti, Gianluca Crippa, Gautam Iyer, and Tarek Elgindi.

This talk is part of the Partial Differential Equations seminar series.

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