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Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation

Publication ,  Journal Article
Kiselev, A; Nazarov, F
Published in: Nonlinearity
February 1, 2010

We consider the surface quasi-geostrophic equation with dispersive forcing and critical dissipation. We prove the global existence of smooth solutions given sufficiently smooth initial data. This is done using a maximum principle for the solutions involving conservation of a certain family of moduli of continuity. © 2010 IOP Publishing Ltd and London Mathematical Society.

Duke Scholars

Published In

Nonlinearity

DOI

EISSN

1361-6544

ISSN

0951-7715

Publication Date

February 1, 2010

Volume

23

Issue

3

Start / End Page

549 / 554

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
 

Citation

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Chicago
ICMJE
MLA
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Kiselev, A., & Nazarov, F. (2010). Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation. Nonlinearity, 23(3), 549–554. https://doi.org/10.1088/0951-7715/23/3/006
Kiselev, A., and F. Nazarov. “Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation.” Nonlinearity 23, no. 3 (February 1, 2010): 549–54. https://doi.org/10.1088/0951-7715/23/3/006.
Kiselev A, Nazarov F. Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation. Nonlinearity. 2010 Feb 1;23(3):549–54.
Kiselev, A., and F. Nazarov. “Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation.” Nonlinearity, vol. 23, no. 3, Feb. 2010, pp. 549–54. Scopus, doi:10.1088/0951-7715/23/3/006.
Kiselev A, Nazarov F. Global regularity for the critical dispersive dissipative surface quasi-geostrophic equation. Nonlinearity. 2010 Feb 1;23(3):549–554.
Journal cover image

Published In

Nonlinearity

DOI

EISSN

1361-6544

ISSN

0951-7715

Publication Date

February 1, 2010

Volume

23

Issue

3

Start / End Page

549 / 554

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics