Seminar Analysis and Mathematical Physics: Banhirup Sengupta (Universitat Autònoma de Barcelona)

Pointwise description of Eulerian vector fields and rotational properties of their flows

In this talk I am going to provide a pointwise characterisation of nearly incompressible vector fields with bounded curl. Euler vector fields fall in this class. I will also talk about rotational properties of Euler flows and nonlinear transport equations involving Cauchy Kernel in the plane. This is based on joint works with Albert Clop (Barcelona) and Lauri Hitruhin (Helsinki).

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