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A collision result for both non-Newtonian and heat conducting Newtonian compressible fluids

Part of: Equations of mathematical physics and other areas of application Coupling of solid mechanics with other effects Foundations, constitutive equations, rheology

Published online by Cambridge University Press:  26 February 2024

Šárka Nečasová  and
Florian Oschmann Open the ORCID record for Florian Oschmann [Opens in a new window]
Šárka Nečasová
Affiliation:
Institute of Mathematics, Czech Academy of Sciences, Žitná 25, 115 67 Praha 1, Czech Republic (matus@math.cas.cz; oschmann@math.cas.cz)
Florian Oschmann
Affiliation:
Institute of Mathematics, Czech Academy of Sciences, Žitná 25, 115 67 Praha 1, Czech Republic (matus@math.cas.cz; oschmann@math.cas.cz)
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Abstract

We generalize the known collision results for a solid in a 3D compressible Newtonian fluid to compressible non-Newtonian ones, and to Newtonian fluids with temperature-depending viscosities.

Keywords

Fluid–structure interactionNavier–Stokesnon-Newtonian fluidscollision

MSC classification

Primary: 35Q30: Navier-Stokes equations
Secondary: 70F35: Collision of rigid or pseudo-rigid bodies 74F10: Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 76A05: Non-Newtonian fluids
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , First View , pp. 1 - 15
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Copyright
Copyright © The Author(s), 2024. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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