24 citations · 25 across the 3 of their papers we have counts for
5 papers
Shallow water waves generated by a floating object: a control theoretical perspective
Pei Su, Marius Tucsnak
We consider a control system describing the interaction of water waves with a partially immersed rigid body constraint to move only in the vertical direction. The fluid is modeled…
Stabilizability properties of a linearized water waves system
Pei Su, Marius Tucsnak, George Weiss
We consider the strong stabilization of small amplitude gravity water waves in a two dimensional rectangular domain. The control acts on one lateral boundary, by imposing the horiz…
- Maximal Regularity for some Operators Associated with Linearized Incompressible Fluid-Rigid Body Problems
Debayan Maity, Marius Tucsnak
We study an unbounded operator arising naturally after linearizing the system modelling the motion of a rigid body in a viscous incompressible fluid. We show that this operator is…
Mathematical Analysis of the Motion of a Rigid Body in a Compressible Navier-Stokes-Fourier Fluid
Bernhard H. Haak, Debayan Maity, Takéo Takahashi +1
We study an initial and boundary value problem modelling the motion of a rigid body in a heat conducting gas. The solid is supposed to be a perfect thermal insulator. The gas is de…
Perturbations of time optimal control problems for a class of abstract parabolic systems
Marius Tucsnak, Gengsheng Wang, Chi-Ting Wu
In this work we study the asymptotic behavior of the solutions of a class of abstract parabolic time optimal control problems when the generators converge, in an appropriate sense,…