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On singular vortex patches, II: Long-time dynamics.

Authors :
Elgindi, Tarek M.
Jeong, In-Jee
Source :
Transactions of the American Mathematical Society. Sep2020, Vol. 373 Issue 9, p6757-6775. 19p.
Publication Year :
2020

Abstract

In a companion paper [arXiv:1903.00833], we gave a detailed account of the well-posedness theory for singular vortex patches. Here, we discuss the long-time dynamics of some of the classes of vortex patches we showed to be globally well-posed in the above-mentioned paper. In particular, we give examples of time-periodic behavior, cusp formation in infinite time at an exponential rate, and spiral formation in infinite time. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*ACCOUNTING

Details

Language :
English
ISSN :
00029947
Volume :
373
Issue :
9
Database :
Academic Search Index
Journal :
Transactions of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
146167597
Full Text :
https://doi.org/10.1090/tran/8134