Global well-posedness for a slightly supercritical surface quasi-geostrophic equation
Publication
, Journal Article
Dabkowski, M; Kiselev, A; Vicol, V
Published in: Nonlinearity
May 1, 2012
We use a non-local maximum principle to prove the global existence of smooth solutions for a slightly supercritical surface quasi-geostrophic equation. By this we mean that the velocity field u is obtained from the active scalar by a Fourier multiplier with symbol iζ ⊥|ζ| -1m(|ζ|), where m is a smooth increasing function that grows slower than log log|ζ| as |ζ| → ∞. © 2012 IOP Publishing Ltd & London Mathematical Society.
Duke Scholars
Published In
Nonlinearity
DOI
EISSN
1361-6544
ISSN
0951-7715
Publication Date
May 1, 2012
Volume
25
Issue
5
Start / End Page
1525 / 1535
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Dabkowski, M., Kiselev, A., & Vicol, V. (2012). Global well-posedness for a slightly supercritical surface quasi-geostrophic equation. Nonlinearity, 25(5), 1525–1535. https://doi.org/10.1088/0951-7715/25/5/1525
Dabkowski, M., A. Kiselev, and V. Vicol. “Global well-posedness for a slightly supercritical surface quasi-geostrophic equation.” Nonlinearity 25, no. 5 (May 1, 2012): 1525–35. https://doi.org/10.1088/0951-7715/25/5/1525.
Dabkowski M, Kiselev A, Vicol V. Global well-posedness for a slightly supercritical surface quasi-geostrophic equation. Nonlinearity. 2012 May 1;25(5):1525–35.
Dabkowski, M., et al. “Global well-posedness for a slightly supercritical surface quasi-geostrophic equation.” Nonlinearity, vol. 25, no. 5, May 2012, pp. 1525–35. Scopus, doi:10.1088/0951-7715/25/5/1525.
Dabkowski M, Kiselev A, Vicol V. Global well-posedness for a slightly supercritical surface quasi-geostrophic equation. Nonlinearity. 2012 May 1;25(5):1525–1535.
Published In
Nonlinearity
DOI
EISSN
1361-6544
ISSN
0951-7715
Publication Date
May 1, 2012
Volume
25
Issue
5
Start / End Page
1525 / 1535
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics