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Time-Periodic Solutions of the Burgers Equation

Fontes, Magnus LU and Verdier, Olivier LU (2009) In Journal of Mathematical Fluid Mechanics 11. p.303-323
Abstract
We investigate the time periodic solutions to the viscous Burgers equation $u_t -mu u_{xx} + uu_x = f$ for irregular forcing terms. We prove that the corresponding Burgers operator is a diffeomorphism between appropriate function spaces.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Burgers Equation, Time-periodicity, Analysis
in
Journal of Mathematical Fluid Mechanics
volume
11
pages
303 - 323
publisher
Birkhäuser Verlag
external identifiers
  • wos:000267215800007
  • scopus:67949094418
ISSN
1422-6928
DOI
10.1007/s00021-007-0260-z
language
English
LU publication?
yes
id
c9e5b87b-a1e1-4e03-bfa1-abc7e9cbe099 (old id 787168)
date added to LUP
2016-04-01 12:59:38
date last changed
2022-03-29 04:55:15
@article{c9e5b87b-a1e1-4e03-bfa1-abc7e9cbe099,
  abstract     = {{We investigate the time periodic solutions to the viscous Burgers equation $u_t -mu u_{xx} + uu_x = f$ for irregular forcing terms. We prove that the corresponding Burgers operator is a diffeomorphism between appropriate function spaces.}},
  author       = {{Fontes, Magnus and Verdier, Olivier}},
  issn         = {{1422-6928}},
  keywords     = {{Burgers Equation; Time-periodicity; Analysis}},
  language     = {{eng}},
  pages        = {{303--323}},
  publisher    = {{Birkhäuser Verlag}},
  series       = {{Journal of Mathematical Fluid Mechanics}},
  title        = {{Time-Periodic Solutions of the Burgers Equation}},
  url          = {{http://dx.doi.org/10.1007/s00021-007-0260-z}},
  doi          = {{10.1007/s00021-007-0260-z}},
  volume       = {{11}},
  year         = {{2009}},
}