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Simplified a priori estimate for the time periodic Burgers' equation

Fontes, Magnus LU and Verdier, Olivier LU (2010) In Proceedings of the Estonian Academy of Sciences 59(1). p.34-41
Abstract
We present here a version of the existence and uniqueness result of time periodic solutions to the viscous Burgers' equation with irregular forcing terms (with Sobolev regularity -1 in space). The key result here is an a priori estimate which is simpler than the previously treated case of forcing terms with regularity -1/2 in time.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Sobolev spaces, distributions, periodic solutions, Burgers' equation, time-periodic
in
Proceedings of the Estonian Academy of Sciences
volume
59
issue
1
pages
34 - 41
publisher
Estonian Academy Publishers
external identifiers
  • wos:000276989900006
  • scopus:77956586209
ISSN
1736-7530
DOI
10.3176/proc.2010.1.06
language
English
LU publication?
yes
id
f434507a-58f7-4894-a8a9-e64183b32dc0 (old id 1601067)
date added to LUP
2016-04-01 09:48:47
date last changed
2022-01-25 08:58:54
@article{f434507a-58f7-4894-a8a9-e64183b32dc0,
  abstract     = {{We present here a version of the existence and uniqueness result of time periodic solutions to the viscous Burgers' equation with irregular forcing terms (with Sobolev regularity -1 in space). The key result here is an a priori estimate which is simpler than the previously treated case of forcing terms with regularity -1/2 in time.}},
  author       = {{Fontes, Magnus and Verdier, Olivier}},
  issn         = {{1736-7530}},
  keywords     = {{Sobolev spaces; distributions; periodic solutions; Burgers' equation; time-periodic}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{34--41}},
  publisher    = {{Estonian Academy Publishers}},
  series       = {{Proceedings of the Estonian Academy of Sciences}},
  title        = {{Simplified a priori estimate for the time periodic Burgers' equation}},
  url          = {{https://lup.lub.lu.se/search/files/8197217/1242558.pdf}},
  doi          = {{10.3176/proc.2010.1.06}},
  volume       = {{59}},
  year         = {{2010}},
}