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math.AP2025
Discretely self-similar solutions for electron MHD
Nada Adzic Vukotic, Mimi Dai
We study discretely self-similar solutions for the electron magnetohydrodynamics (MHD) without resistivity. Under several different decay and non-decay conditions, we show the abse…
math.AP2024
Self-similar singularities for electron MHD
Mimi Dai, Hannah Guerra, Chao Wu
We study several types of self-similar solutions for the electron magnetohydrodynamics (MHD) without resistivity, including locally self-similar solutions and pseudo-self-similar s…
math.AP2024
Non-unique stationary solutions of even active scalar equations
Mimi Dai, Chao Wu
We study a class of active scalar equations with even non-local operator in the drift term. Non-trivial stationary weak solutions in the space are constructed using the it…