PreprintarXiv licencearXiv
Strong transport noise prevents self-intersection in 2D fluid-structure interaction
Abstract
We consider the interaction of a viscous incompressible fluid with a flexible elastic shell occupying the boundary of the fluid's domain in two space dimensions. The shell is modelled by a perfectly elastic linearised beam equation. It is an open problem in fluid-structure interaction, even for the idealised case of a perfectly elastic plate, if a self-intersection of the structure can be excluded in the long run. We show that by adding a physically well-motived and sufficiently strong transport noise in the structure equation, the self-intersection does not occur before any given end-time with any prescribed probability smaller than 1.
Related
- Compressible stochastic fluid--structure interaction with transport noise and Navier slip: A stochastic-flow approach
- The structure of almost symmetric almost complete intersection numerical semigroups
- Regularity and Decay for Navier-Slip Fluid-Structure Interaction in Exterior Domains
- Existence of Weak Solutions and Higher-Order Regularity for a Heat-Wave Fluid-Structure Interaction System on a Periodic Strip
- Weighted H2 regularity for a Stokes--Lam\'{e} fluid-structure interaction problem with interface--boundary intersections
BibTeX
@misc{breit2026strong,
title = {{Strong transport noise prevents self-intersection in 2D fluid-structure interaction}},
author = {Dominic Breit and Prince Romeo Mensah},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.09811},
eprint = {2610.09811},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.09811},
}
RIS
TY - UNPB
TI - Strong transport noise prevents self-intersection in 2D fluid-structure interaction
AU - Dominic Breit
AU - Prince Romeo Mensah
PY - 2026
DA - 2026/10/07
PB - arXiv
DO - 10.48550/arxiv.2610.09811
UR - https://arxiv.org/abs/2610.09811
AB - We consider the interaction of a viscous incompressible fluid with a flexible elastic shell occupying the boundary of the fluid's domain in two space dimensions. The shell is modelled by a perfectly elastic linearised beam equation. It is an open problem in fluid-structure interaction, even for the idealised case of a perfectly elastic plate, if a self-intersection of the structure can be excluded in the long run. We show that by adding a physically well-motived and sufficiently strong transport noise in the structure equation, the self-intersection does not occur before any given end-time with any prescribed probability smaller than 1.
ER -