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arxiv: 1706.02020 · v2 · pith:EXM4S6CYnew · submitted 2017-06-07 · 🧮 math.AP

Energy concentrations and Type I blow-up for the 3D Euler equations

classification 🧮 math.AP
keywords blow-upconcentrationsenergyequationseulertypeatomicconserving
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We exclude Type I blow-up, which occurs in the form of atomic concentrations of the $L^2$ norm for the solution of the 3D incompressible Euler equations. As a corollary we prove nonexistence of discretely self-similar blow-up in the energy conserving scale.

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