Back to Search Start Over

On singular vortex patches, II: Long-time dynamics

Authors :
Tarek M. Elgindi
In-Jee Jeong
Source :
Transactions of the American Mathematical Society. 373:6757-6775
Publication Year :
2020
Publisher :
American Mathematical Society (AMS), 2020.

Abstract

In a companion paper, 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 companion work. In particular, we give examples of time-periodic behavior, cusp formation in infinite time at an exponential rate, and spiral formation in infinite time.<br />Comment: 17 pages, 6 figures

Subjects

Subjects :
Cusp (singularity)
Work (thermodynamics)
Applied Mathematics
General Mathematics
010102 general mathematics
Dynamics (mechanics)
01 natural sciences
Exponential function
Vortex
Mathematics - Analysis of PDEs
Classical mechanics
Time dynamics
FOS: Mathematics
0101 mathematics
Spiral
Analysis of PDEs (math.AP)
Mathematics

Details

ISSN :
10886850 and 00029947
Volume :
373
Database :
OpenAIRE
Journal :
Transactions of the American Mathematical Society
Accession number :
edsair.doi.dedup.....7bc58616a38d1c4be7effc912fa20798

Tools

Authors Abstract Subjects Details