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Self-propelled motion in a viscous compressible fluid

Part of: Compressible fluids and gas dynamics, general Biological fluid mechanics

Published online by Cambridge University Press:  19 January 2016

Václav Mácha  and
Šárka Nečasová
Václav Mácha
Affiliation:
Institute of Mathematics AS CR, Žitná 25, 11567 Praha 1, Czech Republic (macha@math.cas.cz; matus@math.cas.cz)
Šárka Nečasová
Affiliation:
Institute of Mathematics AS CR, Žitná 25, 11567 Praha 1, Czech Republic (macha@math.cas.cz; matus@math.cas.cz)
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In this paper we focus on the existence of a weak solution to a system describing a self-propelled motion of a single deformable body in a viscous compressible fluid that occupies a bounded domain in the three-dimensional Euclidean space. The governing system considered for the fluid is the isentropic compressible Navier–Stokes equation. We prove the existence of a weak solution up to a collision.

Keywords

self-propelled motioncompressible fluiddeformable structure

MSC classification

Secondary: 76N10: Existence, uniqueness, and regularity theory 76Z10: Biopropulsion in water and in air
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 146 , Issue 2 , April 2016 , pp. 415 - 433
Copyright
Copyright © Royal Society of Edinburgh 2016