6 papers · 1 filter
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…
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…
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…
An -quantitative global approximation for the Stokes initial-boundary value problem
Mitsuo Higaki
We establish the first quantitative Runge approximation theorem, with explicit -estimates, for the 3d nonstationary Stokes system on a bounded spatial domain. This result addr…
Lagrangian controllability in perforated domains
Mitsuo Higaki, Jiajiang Liao, Franck Sueur
The question at stake in Lagrangian controllability is whether one can move a patch of fluid particles to a target location by means of remote action in a given time interval. In t…
A Runge-type approximation theorem for the 3D unsteady Stokes system
Mitsuo Higaki, Franck Sueur
We investigate Runge-type approximation theorems for solutions to the 3D unsteady Stokes system. More precisely, we establish that on any compact set with connected complement, loc…