Blow-up of dyadic MHD models with forward energy cascade

2021/02/06 by Mimi Dai, Dai, Mimi
Engineering · Mathematics · #35Q35 #76D03 #76W05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2102.03498

openalex publication_date 2021/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A particular type of dyadic model for the magnetohydrodynamics (MHD) with forward energy cascade is studied. The model includes intermittency dimension δ in the nonlinear scales. It is shown that when δ is small, positive solution with large initial data for either the dyadic MHD model or the dyadic Hall MHD develops blow-up in finite time.

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