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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…