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

2017/06/07 by Dongho Chae, Chae, Dongho, Joerg Wolf +1 · 1 citation
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics #Navier-Stokes equation solutions #math.AP #msc:35Q31 #msc:76B03

paper · pdf · doi:10.48550/arxiv.1706.02020

47 pages

arxiv created 2018/05/21 · arxiv updated 2018/05/22

Abstract

We exclude Type I blow-up, which occurs in the form of atomic concentrations of the L² 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.

Cited by

• Full-Tail Dynamical Rigidity Forced by Atomic Navier-Stokes Energy Concentration

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