We study the time evolution of an incompressible Euler fluid with planar symmetry when the vorticity is initially concentrated in small disks. We discuss how long this concentration persists, showing that in some cases this happens for quite long times. Moreover, we analyze a toy model that shows a similar behavior and gives some hints on the original problem
Long time evolution of concentrated Euler flows with planar symmetry / Butta', Paolo; Marchioro, Carlo. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 50:1(2018), pp. 735-760. [10.1137/16M1103725]
Long time evolution of concentrated Euler flows with planar symmetry
Paolo Buttà;Carlo Marchioro
2018
Abstract
We study the time evolution of an incompressible Euler fluid with planar symmetry when the vorticity is initially concentrated in small disks. We discuss how long this concentration persists, showing that in some cases this happens for quite long times. Moreover, we analyze a toy model that shows a similar behavior and gives some hints on the original problemFile allegati a questo prodotto
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