Conditionally strong solution for macroscopic polymeric SSS interaction
Analysis of PDEs
2025-06-12 v1
Abstract
The system under study is a solute-solvent-structure (SSS) interaction problem for the interaction of a dilute three-dimensional Oldroyd-B polymeric fluid with a two-dimensional viscoelastic shell. We show that a unique global strong solution to this system exists under the condition that the classical Ladyzhenskaya--Prodi--Serrin criterion holds for the velocity field and that the shell displacement is essentially bounded in time with values in the space of continuously differentiable functions. No requirement is needed for the polymer number density and the extra stress tensor for the solute component.
Cite
@article{arxiv.2403.02257,
title = {Conditionally strong solution for macroscopic polymeric SSS interaction},
author = {Prince Romeo Mensah},
journal= {arXiv preprint arXiv:2403.02257},
year = {2025}
}
Comments
20 pages. arXiv admin note: text overlap with arXiv:2311.09034