Finite-time blowup for a Navier–Stokes model equation for the self-amplification of strain

نویسندگان

چکیده

In this paper, we consider a model equation for the Navier--Stokes strain equation. This has same identity enstrophy growth and number of regularity criteria as full Navier-Stokes equation, is also an evolution on constraint space. We prove finite-time blowup which shows that space are not sufficient their own to guarantee global Navier-Stokes. The mechanism self-amplification strain, consistent with recent research suggesting self-amplification, vortex stretching, main behind turbulent energy cascade. Because obtained by dropping certain terms from will conditional result involving perturbative condition neglected in

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ژورنال

عنوان ژورنال: Analysis & PDE

سال: 2023

ISSN: ['2157-5045', '1948-206X']

DOI: https://doi.org/10.2140/apde.2023.16.997