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GDMSeminar: Abstracts of the Talks (2020/10)

Daniel Peralta-Salas (ICMAT Madrid)

Flexibility and rigidity aspects of the dynamics of the steady Euler flows

Tuesday, October 6, 2020, 15:00 GMT

Abstract: An inviscid and incompressible fluid in equilibrium on a Riemannian manifold is described by (an autonomous) vector field X that satisfies the stationary Euler equations. In this talk I will focus on the dynamics of steady Euler flows on compact manifolds, emphasizing the geometric aspects. The topics I will cover include a characterization of the volume-preserving vector fields that are Eulerizable and some rigidity results for steady Euler flows on the round sphere.