4 papers
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…
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…
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…
On an Initial Value Problem Describing the Small Oscillations of a Floating Cylinder
Vicente Ocqueteau, Marius Tucsnak
We study a coupled PDE-ODE system modeling the small oscillations of a floating cylinder interacting with small water waves. We consider the case when the floating body is an infin…