Time-Periodic Solutions of the Burgers Equation
(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:
https://lup.lub.lu.se/record/787168
- author
- Fontes, Magnus LU and Verdier, Olivier LU
- organization
- publishing date
- 2009
- 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
- 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
- 2025-10-14 09:03:05
@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}},
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}},
}