Showing math.APShow all
3 papers · 1 filter
math.AP2026
Existence, Uniqueness, and Smoothing for Generalized EMHD
Chao Wu
We study the Cauchy problem for generalized electron magnetohydrodynamics (EMHD). We establish the local existence and uniqueness of solutions in critical Sobolev spaces, as well a…
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…