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math.AP2025
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…
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…