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math.AP2025
MHS equilibria in the non-resistive limit to the randomly forced resistive magnetic relaxation equations
Ken Abe, In-Jee Jeong, Federico Pasqualotto +1
We consider randomly forced resistive magnetic relaxation equations (MRE) with resistivity and a force proportional to on the flat -torus for $…
math.AP2024
Steady Compressible 3D Euler Flows in Toroidal Volumes without Continuous Euclidean Isometries
Naoki Sato, Michio Yamada
We demonstrate the existence of smooth three-dimensional vector fields where the cross product between the vector field and its curl is balanced by the gradient of a smooth functio…