Global well-posedness of dissipative quasi-geostrophic equations in critical spaces
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- by Hantaek Bae PDF
- Proc. Amer. Math. Soc. 136 (2008), 257-261 Request permission
Abstract:
We prove global well-posedness for the dissipative quasi-geostrophic equation with initial data in critical Besov spaces $B^{1+ {2 \over p}-2\alpha }_{p,q}$, $0< \alpha \leq 1$, provided that the $B^{1+ {2 \over p}-2\alpha }_{p,q}$norm of the initial data is sufficiently small compared with the dissipative coefficient $\kappa$.References
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Additional Information
- Hantaek Bae
- Affiliation: Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York, 10012-1185
- MR Author ID: 824028
- Email: hantaek@cims.nyu.edu
- Received by editor(s): December 4, 2006
- Published electronically: October 5, 2007
- Communicated by: David S. Tartakoff
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 257-261
- MSC (2000): Primary 35Q40, 75D03
- DOI: https://doi.org/10.1090/S0002-9939-07-09060-0
- MathSciNet review: 2350411