Seminar Analysis and Mathematical Physics: Gabriel Sattig (Universität Leipzig)

Genericity of non-Lagrangian solutions to the transport equation

It was shown by Modena and Székelyhidi that weak solutions to the incompressible transport equation may be not unique, even if the transporting field is Sobolev, thus admitting a unique regular Lagrangian flow. In this talk I will present a recent result saying that non-Lagrangian solutions are generic in the Baire category sense. Joint work with L. Székelyhidi.

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