On nonexistence of splash singularities for the $α$-SQG patches
Publication
, Journal Article
Kiselev, A; Luo, X
November 26, 2021
In this paper, we consider patch solutions to the $\alpha$-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 \cite{GS}, 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
Publication Date
November 26, 2021
Citation
APA
Chicago
ICMJE
MLA
NLM
Kiselev, A., & Luo, X. (2021). On nonexistence of splash singularities for the $α$-SQG patches.
Kiselev, Alexander, and Xiaoyutao Luo. “On nonexistence of splash singularities for the $α$-SQG patches,” November 26, 2021.
Kiselev A, Luo X. On nonexistence of splash singularities for the $α$-SQG patches. 2021 Nov 26;
Kiselev, Alexander, and Xiaoyutao Luo. On nonexistence of splash singularities for the $α$-SQG patches. Nov. 2021.
Kiselev A, Luo X. On nonexistence of splash singularities for the $α$-SQG patches. 2021 Nov 26;
Publication Date
November 26, 2021