Seminar Analysis and Mathematical Physics: Alberto Enciso (ICMAT Madrid)

Steady Euler flows via a topology-preserving convex integration scheme

In this talk I will review some results concerning the existence of stationary solutions to the 3D Euler equations that are topologically equivalent, in some sense, to a given smooth divergence-free field. The rule of thumb is that, for “most” fields, there does not exist a C^1 topologically equivalent steady Euler flow, but there aways exists a (weakly) topologically equivalent steady Euler flow of class C^\alpha. 

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