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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…
math.AP2023
Weakened vortex stretching effect in three scale hierarchy for the 3D Euler equations
In-Jee Jeong, Jungkyoung Na, Tsuyoshi Yoneda
We consider the 3D incompressible Euler equations under the following three scale hierarchical situation: large-scale vortex stretching the middle-scale, and at the same time, the…
math.AP2023
On well-posedness of -SQG equations in the half-plane
In-Jee Jeong, Junha Kim, Yao Yao
We investigate the well-posedness of -SQG equations in the half-plane, where and correspond to the 2D Euler and SQG equations respectively. For , we prov…