BZ Seminar in Analysis: Diego Cordoba (ICMAT Madrid)

Fluid-squeezing singularities for the incompressible Euler equations

I will discuss a new result on the existence of a stationary solution with a fluid-squeezing singularity for the two-fluid incompressible Euler equations. The proof is based on a new set of  estimates that permits us to analyze a fluid squeezed by a self-intersecting interface. We will exploit these estimates in the dynamical case and show a local existence result starting from a fluid-squeezing singularity.

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