Discretely self-similar solutions for electron MHD
Nada Adzic Vukotic, Mimi Dai
TL;DR
This paper investigates the existence of discretely self-similar solutions in electron MHD without resistivity, demonstrating their absence under various decay conditions, which advances understanding of singularity formation in this context.
Contribution
The paper proves the non-existence of non-trivial discretely self-similar blowup solutions in electron MHD without resistivity under multiple decay assumptions.
Findings
No non-trivial discretely self-similar blowup solutions exist.
Results hold under various decay and non-decay conditions.
Contributes to the understanding of singularity behavior in electron MHD.
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.
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Taxonomy
TopicsDust and Plasma Wave Phenomena · Magnetic confinement fusion research · Navier-Stokes equation solutions