On Nonexistence of Splash Singularities for the α -SQG Patches
Publication
, Journal Article
Kiselev, A; Luo, X
Published in: Journal of Nonlinear Science
April 1, 2023
In this paper, we consider patch solutions to the α-SQG equation and derive new criteria for the absence of splash singularity where different patches or parts of the same patch collide in finite time. Our criterion refines a result due to Gancedo and Strain Gancedo and Strain (2014), providing a condition on the growth of curvature of the patch necessary for the splash and an exponential in time lower bound on the distance between patches with bounded curvature.
Duke Scholars
Published In
Journal of Nonlinear Science
DOI
EISSN
1432-1467
ISSN
0938-8974
Publication Date
April 1, 2023
Volume
33
Issue
2
Related Subject Headings
- Fluids & Plasmas
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Kiselev, A., & Luo, X. (2023). On Nonexistence of Splash Singularities for the α -SQG Patches. Journal of Nonlinear Science, 33(2). https://doi.org/10.1007/s00332-023-09893-2
Kiselev, A., and X. Luo. “On Nonexistence of Splash Singularities for the α -SQG Patches.” Journal of Nonlinear Science 33, no. 2 (April 1, 2023). https://doi.org/10.1007/s00332-023-09893-2.
Kiselev A, Luo X. On Nonexistence of Splash Singularities for the α -SQG Patches. Journal of Nonlinear Science. 2023 Apr 1;33(2).
Kiselev, A., and X. Luo. “On Nonexistence of Splash Singularities for the α -SQG Patches.” Journal of Nonlinear Science, vol. 33, no. 2, Apr. 2023. Scopus, doi:10.1007/s00332-023-09893-2.
Kiselev A, Luo X. On Nonexistence of Splash Singularities for the α -SQG Patches. Journal of Nonlinear Science. 2023 Apr 1;33(2).
Published In
Journal of Nonlinear Science
DOI
EISSN
1432-1467
ISSN
0938-8974
Publication Date
April 1, 2023
Volume
33
Issue
2
Related Subject Headings
- Fluids & Plasmas
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics