Work

Strong solution for polymeric fluid–structure interaction with small initial acceleration

Year: 2026

Type: article

Abstract: We consider the problem of a 3D–3D–2D mutually coupled solute–solvent-structure three-states system. This describes the interaction of a flexible structure with a polymeric fluid of classical Oldroyd-B type without centre-of-mass diffusion. We construct a unique higher-order regularity notion of a strong solution for the system by decoupling the solute from the solvent-structure subsystem, solving the decoupled system individually, and gluing the solutions through a fixed-point argument. As a requirement for the construction, we rely on a maximal regularity result for the Stokes problem on moving domains with non-trivial boundary conditions; a result that is also of independent interest.

Source: Mathematische Annalen

DOI: 10.1007/s00208-026-03558-7

Author: Prince Romeo Mensah

Institutions: Clausthal University of Technology, University of Duisburg-Essen

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Deutsche Forschungsgemeinschaft