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Moving regions in Euclidean space and Reynolds' transport theorem

Lidström, Per LU (2011) In Mathematics and Mechanics of Solids 16(4). p.366-380
Abstract
This paper gives new demonstrations of Reynolds' transport theorems for moving regions in Euclidean space. For moving volume regions the proof is based on differential forms and Stokes' formula. Moving curves and surface regions are defined and the intrinsic normal time derivative is introduced. The corresponding surface transport theorem is derived using the partition of unity and the surface divergence theorem. A proof of the surface divergence theorem is also given.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
moving regions, Reynolds' transport theorem
in
Mathematics and Mechanics of Solids
volume
16
issue
4
pages
366 - 380
publisher
SAGE Publications Inc.
external identifiers
  • wos:000291587900002
  • scopus:79959311789
ISSN
1741-3028
DOI
10.1177/1081286510393805
language
English
LU publication?
yes
id
fad3fd3b-2226-4add-8a5e-09911039a76d (old id 1984824)
date added to LUP
2011-07-08 15:19:58
date last changed
2017-10-22 03:15:17
@article{fad3fd3b-2226-4add-8a5e-09911039a76d,
  abstract     = {This paper gives new demonstrations of Reynolds' transport theorems for moving regions in Euclidean space. For moving volume regions the proof is based on differential forms and Stokes' formula. Moving curves and surface regions are defined and the intrinsic normal time derivative is introduced. The corresponding surface transport theorem is derived using the partition of unity and the surface divergence theorem. A proof of the surface divergence theorem is also given.},
  author       = {Lidström, Per},
  issn         = {1741-3028},
  keyword      = {moving regions,Reynolds' transport theorem},
  language     = {eng},
  number       = {4},
  pages        = {366--380},
  publisher    = {SAGE Publications Inc.},
  series       = {Mathematics and Mechanics of Solids},
  title        = {Moving regions in Euclidean space and Reynolds' transport theorem},
  url          = {http://dx.doi.org/10.1177/1081286510393805},
  volume       = {16},
  year         = {2011},
}