Self-similar singularities for electron MHD

2024/05/01 by Mimi Dai, Dai, Mimi, Hannah Guerra +3 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #35Q35 #76B03 #76D09 #76E25 #76W05 #Analysis of PDEs (math.AP) #FOS: Mathematics #High-pressure geophysics and materials #Optical properties and cooling technologies in crystalline materials #Vacuum and Plasma Arcs

paper · pdf · doi:10.48550/arxiv.2405.00324

openalex publication_date 2024/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study several types of self-similar solutions for the electron magnetohydrodynamics (MHD) without resistivity, including locally self-similar solutions and pseudo-self-similar solutions. We show that under certain conditions, these types of self-similar blowup solutions can be excluded.

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• Discretely self-similar solutions for electron MHD

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