activity
20202026
most citedLadyzhenskaya-Prodi-Serrin condition for fluid-structure interaction systems

2 citations · 5 across the 8 of their papers we have counts for

collaborators

8 papers

math.AP2026

Well-posedness theorems in fluid-structure interaction: perfectly elastic shells

Dominic Breit, Prince Romeo Mensah, Sebastian Schwarzacher +1

In this work, we consider the interaction of a 3D incompressible fluid with a 2D flexible shell that occupies (a part of) the boundary of the fluid domain. We assume that the shell…

math.AP2023

Quantitative observability for one-dimensional Schrödinger equations with potentials

Pei Su, Chenmin Sun, Xu Yuan

In this note, we prove the quantitative observability with an explicit control cost for the 1D Schrödinger equation over with real-valued, bounded continuous potentia…

math.AP2023

Existence of strong solutions for a perfect elastic beam interacting with Navier-Stokes equations

Sebastian Schwarzacher, Pei Su

A perfectly elastic beam is situated on top of a two dimensional fluid canister. The beam is deforming in accordance to an interaction with a Navier-Stokes fluid. Hence a hyperboli…

math.AP2023★ 2 cited

Ladyzhenskaya-Prodi-Serrin condition for fluid-structure interaction systems

Dominic Breit, Prince Romeo Mensah, Sebastian Schwarzacher +1

We consider the interaction of a viscous incompressible fluid with a flexible shell in three space dimensions. The fluid is described by the three-dimensional incompressible Navier…

math.AP2022★ 1 cited

The vanishing limit of a rigid body in three-dimensional viscous incompressible fluid

Jiao He, Pei Su

We consider the evolution of a small rigid body in an incompressible viscous fluid filling the whole space $\rline^3$. When the small rigid body shrinks to a "massless" point in th…

math.AP2021

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…

math.AP2021★ 1 cited

Asymptotic behaviour of a linearized water waves system in a rectangle

Pei Su

We consider the asymptotic behaviour of small-amplitude gravity water waves in a rectangular domain where the water depth is much smaller than the horizontal scale. The control act…

math.AP2020★ 1 cited

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…