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Leray Ansatz

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Self-focusing of helicity drives finite-time singularities in inviscid flows

arXiv:2605.17569v2 Announce Type: replace Abstract: This paper deals with the longstanding quest of the possible existence of finite-time singularities in the equations governing the dynamics of inviscid fluids, namely, Euler equations. Here, two contributions are brought for the case of perfect fluids with finite initial energy. First, a self-similar velocity field inspired by Leray Ansatz is proposed which allows for a separation of variables that transforms the original partial...

arXiv Physics 9d ago