Nonlocal maximum principles for active scalars
Publication
, Journal Article
Kiselev, A
Published in: Advances in Mathematics
August 1, 2011
Active scalars appear in many problems of fluid dynamics. The most common examples of active scalar equations are 2D Euler, Burgers, and 2D surface quasi-geostrophic equations. Many questions about regularity and properties of solutions of these equations remain open. We develop the idea of nonlocal maximum principle introduced in Kiselev, Nazarov and Volberg (2007) [19], formulating a more general criterion and providing new applications. The most interesting application is finite time regularization of weak solutions in the supercritical regime. © 2011 Elsevier Inc.
Duke Scholars
Published In
Advances in Mathematics
DOI
EISSN
1090-2082
ISSN
0001-8708
Publication Date
August 1, 2011
Volume
227
Issue
5
Start / End Page
1806 / 1826
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Kiselev, A. (2011). Nonlocal maximum principles for active scalars. Advances in Mathematics, 227(5), 1806–1826. https://doi.org/10.1016/j.aim.2011.03.019
Kiselev, A. “Nonlocal maximum principles for active scalars.” Advances in Mathematics 227, no. 5 (August 1, 2011): 1806–26. https://doi.org/10.1016/j.aim.2011.03.019.
Kiselev A. Nonlocal maximum principles for active scalars. Advances in Mathematics. 2011 Aug 1;227(5):1806–26.
Kiselev, A. “Nonlocal maximum principles for active scalars.” Advances in Mathematics, vol. 227, no. 5, Aug. 2011, pp. 1806–26. Scopus, doi:10.1016/j.aim.2011.03.019.
Kiselev A. Nonlocal maximum principles for active scalars. Advances in Mathematics. 2011 Aug 1;227(5):1806–1826.
Published In
Advances in Mathematics
DOI
EISSN
1090-2082
ISSN
0001-8708
Publication Date
August 1, 2011
Volume
227
Issue
5
Start / End Page
1806 / 1826
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 4901 Applied mathematics
- 0101 Pure Mathematics