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math.OC2026
Sphere Constraints and Harmonic Map Flow: Controllability and Reachability by Low-Mode Forcing
Debopriya Mukherjee, Kistosil Fahim, Erika Hausenblas
We study the controllability and reachability of sphere-constrained evolution equations under degenerate (low-mode) forcing, with the harmonic map heat flow as the principal applic…
math.OC2022
Landau-Lifshitz-Gilbert equations: Controllability by Low Modes Forcing for deterministic version and Support Theorems for Stochastic version
Mrinmay Biswas, Erika Hausenblas, Debopriya Mukherjee
In this article, we study the controllability issues of the Landau-Lifshitz-Gilbert Equations (LLGEs), accompanied with non-zero exchange energy only, in an interval in one spatial…