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

Abstract

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.

47 pages

References in corpus (3)

• Nonexistence of self-similar singularities for the 3D incompressible Euler equations
• On formation of a locally self-similar collapse in the incompressible Euler equations
• Computational Euler History