Optimal Results For The Two Dimensional Navier-Stokes Equations With Lower Regularity On The Data
(2004) In Seminaires et Congres 9. p.143-154- Abstract
- We establish existence and uniqueness of solutions in the anisotropic Sobolev space H^{1,1/2} to the two dimensional Navier-Stokes equations with source data in H^{-1,-1/2}. Our results give a new elementary proof for and extend some recent results by G. Grubb.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/933613
- author
- Fontes, Magnus LU and Eero, Saksman
- organization
- publishing date
- 2004
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- anisotropic Sobolev space, Navier Stokes, Hilbert transform, fractional calculus
- in
- Seminaires et Congres
- volume
- 9
- pages
- 143 - 154
- publisher
- Société Mathématiques de France
- ISSN
- 1285-2783
- language
- English
- LU publication?
- yes
- additional info
- Résumé (Résultats optimaux pour les équations de Navier-Stokes en dimension 2 avec des données initiales peu régulières) On ´etablit l’existence et l’unicit´e des solutions dans l’espace de Sobolev anisotrope H1,1/2 pour les ´equations de Navier-Stokes en dimension 2 avec des donn´ees dans H−1,−1/2. Nos r´esultats donnent une preuve ´el´ementaire nouvelle de r´esultats r´ecents de G. Grubb, tout en les compl´etant.
- id
- 28b0601b-3335-4060-be6c-790f114ab97d (old id 933613)
- alternative location
- http://www.emis.de/journals/SC/2004/9/pdf/smf_sem-cong_9_143-154.pdf
- date added to LUP
- 2016-04-01 16:31:21
- date last changed
- 2018-11-21 20:42:04
@article{28b0601b-3335-4060-be6c-790f114ab97d, abstract = {{We establish existence and uniqueness of solutions in the anisotropic Sobolev space H^{1,1/2} to the two dimensional Navier-Stokes equations with source data in H^{-1,-1/2}. Our results give a new elementary proof for and extend some recent results by G. Grubb.}}, author = {{Fontes, Magnus and Eero, Saksman}}, issn = {{1285-2783}}, keywords = {{anisotropic Sobolev space; Navier Stokes; Hilbert transform; fractional calculus}}, language = {{eng}}, pages = {{143--154}}, publisher = {{Société Mathématiques de France}}, series = {{Seminaires et Congres}}, title = {{Optimal Results For The Two Dimensional Navier-Stokes Equations With Lower Regularity On The Data}}, url = {{http://www.emis.de/journals/SC/2004/9/pdf/smf_sem-cong_9_143-154.pdf}}, volume = {{9}}, year = {{2004}}, }