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math.AP2026
A Runge-type theorem by remote forcing for the linearized resistive MHD system
Mitsuo Higaki, Franck Sueur
In this paper, we study a quantitative Runge-type global approximation theorem for the linearized magnetohydrodynamic (MHD) system in bounded domains with arbitrary topology. In th…
math.AP2026
Lyapunov Unstable Motion Bifurcating from a Circular Vortex Filament
Masashi Aiki, Mitsuo Higaki
This paper investigates the dynamics of closed vortex filaments in governed by the Localized Induction Equation. Recently, Aiki and Higaki (2026) established the nonlinear o…
math.AP2026
Stability of the Shape for Circular Vortex Filaments under Non-Symmetric Perturbations
Masashi Aiki, Mitsuo Higaki
We establish the nonlinear orbital stability of circular vortex filaments governed by the Localized Induction Equation (LIE) under non-symmetric perturbations, within the framework…