Well-posedness for the axisymmetric Euler equations

Abstract: The incompressible Euler equations describe the motion of inviscid and volume-preserving fluids. The equations respect rotational symmetries, and if one considers initial data which is invariant under all rotations fixing an axis, this property holds for the solution as well. The resulting axisymmetric Euler equations look rather simple, but as we shall see in this talk, even the basic question of well-posedness turns out to be very delicate.

analysis of PDEs

Audience: researchers in the topic

Comments: Here is the poster of this talk: www.dropbox.com/s/htly5kmdcl2dfw2/PDE%20Seminar%206th.pdf?dl=0

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PDE seminar via Zoom