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On Evolution of Corner-Like gSQG Patches

Publication ,  Journal Article
Jeon, J; Jeong, IJ
Published in: Journal of Mathematical Fluid Mechanics
May 1, 2023

We study the evolution of corner-like patch solutions to the generalized SQG equations. Depending on the angle size and order of the velocity kernel, the corner instantaneously bends either downward or upward. In particular, we obtain a new proof of the existence of strictly convex and smooth patch solutions which become immediately non-convex.

Duke Scholars

Published In

Journal of Mathematical Fluid Mechanics

DOI

EISSN

1422-6952

ISSN

1422-6928

Publication Date

May 1, 2023

Volume

25

Issue

2

Related Subject Headings

  • General Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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ICMJE
MLA
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Jeon, J., & Jeong, I. J. (2023). On Evolution of Corner-Like gSQG Patches. Journal of Mathematical Fluid Mechanics, 25(2). https://doi.org/10.1007/s00021-023-00774-y
Jeon, J., and I. J. Jeong. “On Evolution of Corner-Like gSQG Patches.” Journal of Mathematical Fluid Mechanics 25, no. 2 (May 1, 2023). https://doi.org/10.1007/s00021-023-00774-y.
Jeon J, Jeong IJ. On Evolution of Corner-Like gSQG Patches. Journal of Mathematical Fluid Mechanics. 2023 May 1;25(2).
Jeon, J., and I. J. Jeong. “On Evolution of Corner-Like gSQG Patches.” Journal of Mathematical Fluid Mechanics, vol. 25, no. 2, May 2023. Scopus, doi:10.1007/s00021-023-00774-y.
Jeon J, Jeong IJ. On Evolution of Corner-Like gSQG Patches. Journal of Mathematical Fluid Mechanics. 2023 May 1;25(2).
Journal cover image

Published In

Journal of Mathematical Fluid Mechanics

DOI

EISSN

1422-6952

ISSN

1422-6928

Publication Date

May 1, 2023

Volume

25

Issue

2

Related Subject Headings

  • General Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences