activity
20052026
most citedOn the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations

73 citations · 445 across the 43 of their papers we have counts for

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45 papers · 1 filter

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.AP2025

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…

math.AP2025

Motion of a massive rigid loop in a 3D perfect incompressible flow

Olivier Glass, David Meyer, Franck Sueur

We consider the motion of a rigid body immersed in an inviscid incompressible fluid. In 2D, an important physical effect associated with this system is the famous Kutta-Joukowski e…

math.AP2025

Global small-time approximate null and Lagrangian controllability of the viscous non-resistive MHD system in a domain with Navier type boundary conditions

Jiajiang Liao, Franck Sueur, Ping Zhang

We consider the incompressible viscous MHD system without magnetic diffusion in a bounded domain with Navier type boundary condition. We establish the global small-time approx…

math.AP2024

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…

math.AP2024

Local exact Lagrangian controllability for 1D barotropic compressible Navier--Stokes equations

Kai Koike, Franck Sueur, Gastón Vergara-Hermosilla

We consider a viscous compressible barotropic flow in the interval with homogeneous Dirichlet boundary conditions for the flow velocity and a constant rest state as initial…