Discretely self-similar solutions for electron MHD

2025/10/21 by Nada Adzic Vukotic, Vukotic, Nada Adzic, Mimi Dai +1
Mathematics · Physics and Astronomy · #35Q35 #76B03 #76D09 #76E25 #76W05 #Analysis of PDEs (math.AP) #Dust and Plasma Wave Phenomena #FOS: Mathematics #Magnetic confinement fusion research #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2510.19000

openalex publication_date 2025/10/21 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We study discretely self-similar solutions for the electron magnetohydrodynamics (MHD) without resistivity. Under several different decay and non-decay conditions, we show the absence of non-trivial discretely self-similar blowup solutions.

Citations

• Self-similar singularities for electron MHD
• On discretely self-similar solutions of the Euler equations

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