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- Publisher
- Springer Journals
- Copyright
- Copyright © 2010 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
- Subject
- Mathematics; Theoretical, Mathematical and Computational Physics; Math Applications in Computer Science; Applications of Mathematics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-010-0003-4
- Publisher site
- See Article on Publisher Site
Abstract
With a Hölder type inequality in Besov spaces, we show that every strong solution on θ(t, x) on (0, T) of the dissipative quasi-geostrophic equations can be continued beyond T provided that ▿⊥θ(t,x) ∈ $$ L^{\frac{{2\gamma }} {{\gamma - 2\delta }}} $$ ((0, T); $$ \dot B_{\infty ,\infty }^{{{ - \delta - \gamma } \mathord{\left/ {\vphantom {{ - \delta - \gamma } 2}} \right. \kern-\nulldelimiterspace} 2}} $$ (ℝ2)) for 0 < δ < $$ \frac{\gamma } {2} $$ .
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jun 12, 2010