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arXiv · 2605.31322

Strong well-posedness of a fluid--poro-viscoelastic interaction problem: An approach by Spectral analysis

Tim Binz·Matthias Hieber·Arnab Roy
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Abstract

This article investigates a coupled viscoelastic Navier--Stokes--Biot system describing the interaction between an incompressible viscous fluid and a poro--viscoelastic medium in three spatial dimensions. The coupling between the fluid and the porous medium is realized through Beavers--Joseph--Saffman type interface conditions. Using spectral analysis, it is proved that the coupled system admits a unique, strong, global solution for small initial data. In addition, a Serrin--type blow-up criterion is established.

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Tim Binz, Matthias Hieber, Arnab Roy. 2026-05-29. Strong well-posedness of a fluid--poro-viscoelastic interaction problem: An approach by Spectral analysis. https://arxiv.org/abs/2605.31322

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