Two-dimensional Euler flows with concentrated vorticities
Two-dimensional Euler flows with concentrated vorticities
For a planar model of Euler flows proposed by Tur and Yanovsky (2004), we construct a family of velocity fields $\textbf {w}_\varepsilon$ for a fluid in a bounded region $\Omega$, with concentrated vorticities $\omega _\varepsilon$ for $\varepsilon >0$ small. More precisely, given a positive integer $\alpha$ and a sufficiently small …