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math.AP2024
On illposedness of the Hall and electron magnetohydrodynamic equations without resistivity on the whole space
In-Jee Jeong, Sung-Jin Oh
It has been shown in our previous work that the incompressible and irresistive Hall- and electron-magnetohydrodynamic (MHD) equations are illposed on flat domains $M = \mathbb{R}^k…
math.AP2024
Wellposedness of the electron MHD without resistivity for large perturbations of the uniform magnetic field
In-Jee Jeong, Sung-Jin Oh
We prove the local wellposedness of the Cauchy problems for the electron magnetohydrodynamics equations (E-MHD) without resistivity for possibly large perturbations of nonzero unif…