Divergence free functions in a problem of the flow between a fixed inner pipe and an outer pipe with a moving boundary

DOI10.1007/s10884-022-10162-1OpenAlexW4293238646WikidataQ115382850 ScholiaQ115382850MaRDI QIDQ6196036

Volker Pluschke, Ján Filo

Publication date: 14 March 2024

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-022-10162-1

zbMATH Keywords

fluid-structure interactionfree boundarydivergence free velocity field

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Incompressible viscous fluids (76D99) Foundations of fluid mechanics (76A02) Moving boundary problems for PDEs (35R37)

Cites Work

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• Existence of a weak solution to a nonlinear fluid-structure interaction problem modeling the flow of an incompressible, viscous fluid in a cylinder with deformable walls
• Divergence free functions in a problem of the rotationally symmetric flow through a pipe-like domain with a moving boundary
• Analysis of a 3D nonlinear, moving boundary problem describing fluid-mesh-shell interaction

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