| Abstract: |
| We study the electron-MHD equations, written as
\begin{equations}
\begin{cases}
A_t + d_i \nabla \times ((\nabla \times B) \times B) = \mu \Delta B,\
\nabla \times A =B, \ \ \nabla \cdot B =0.
\end{cases}
\end{equations}
Existence of weak solution that dissipates total energy and magnetic helicity is proven via a convex integration scheme. |
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