3 papers
math.FA2026
Bergman-space regularity for the heat equation with white-noise boundary forcing
Micu Sorin, Ionel Roventa, Marius Tucsnak
We introduce a Bergman-space framework for the study of boundary-forced heat equations and show that, in the one-dimensional case, boundary white noise gives rise to a sharp holomo…
math.OC2025
Approximate Tracking Controllability of Systems with Quadratic Nonlinearities
Manuel Rissel, Marius Tucsnak
Given a finite-dimensional time continuous control system and , we address the question of the existence of controls that maintain the corresponding state trajectori…
math.AP2025
Relaxation enhancement by controlling incompressible fluid flows
Kai Koike, Vahagn Nersesyan, Manuel Rissel +1
We propose a PDE-controllability based approach to the enhancement of diffusive mixing for passive scalar fields. Unlike in the existing literature, our relaxation enhancing fields…