On uniqueness and helicity conservation of weak solutions to the electron-MHD system
Mimi Dai, Jacob Krol, and Han Liu
TL;DR
This paper investigates the uniqueness and helicity conservation of weak solutions to the electron-MHD system, establishing conditions under which these properties hold.
Contribution
It provides a conditional uniqueness result and proves helicity conservation under a geometric condition for weak solutions.
Findings
Conditional uniqueness of weak solutions.
Helicity conservation under geometric conditions.
New criteria for solution behavior in electron-MHD.
Abstract
We study the weak solutions to the electron-MHD system and obtain a conditional uniqueness result. In addition, we prove conservation of helicity for weak solutions to the electron-MHD system under a geometric condition.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Navier-Stokes equation solutions · Stability and Controllability of Differential Equations