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arXiv · 2610.09811

Strong transport noise prevents self-intersection in 2D fluid-structure interaction

Dominic Breit·Prince Romeo Mensah
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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.

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Dominic Breit, Prince Romeo Mensah. 2026-10-07. Strong transport noise prevents self-intersection in 2D fluid-structure interaction. https://arxiv.org/abs/2610.09811

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