Self-similar singularities for electron MHD
Mimi Dai, Hannah Guerra, and Chao Wu
TL;DR
This paper investigates self-similar solutions in electron MHD without resistivity, demonstrating conditions under which certain blowup solutions cannot occur, thus advancing understanding of singularity formation in plasma physics.
Contribution
It introduces and analyzes specific self-similar solutions in electron MHD, providing criteria to exclude certain blowup scenarios, which was not previously established.
Findings
Certain self-similar blowup solutions are excluded under specific conditions
Locally self-similar solutions are characterized and analyzed
Pseudo-self-similar solutions are also studied and constrained
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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Taxonomy
TopicsOptical properties and cooling technologies in crystalline materials · High-pressure geophysics and materials · Vacuum and Plasma Arcs