Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-16T16:57:55.222Z Has data issue: false hasContentIssue false
  • English
  • Français

Self-propelled motion in a viscous compressible fluid

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

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 ([email protected]; [email protected])
Šárka Nečasová
Affiliation:
Institute of Mathematics AS CR, Žitná 25, 11567 Praha 1, Czech Republic ([email protected]; [email protected])
Get access Rights & Permissions [Opens in a new window]

Extract

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)