BROWSE

Related Researcher

Author's Photo

Choi, Kyudong
Fluids Analysis Lab
Research Interests
  • fluid equations, mathematical biology, conservation laws,

ITEM VIEW & DOWNLOAD

Stability of Lamb dipoles

Cited 0 times inthomson ciCited 0 times inthomson ci
Title
Stability of Lamb dipoles
Author
Abe, KenChoi, Kyudong
Issue Date
2022-06
Publisher
SPRINGER
Citation
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, v.244, no.3, pp.877 - 917
Abstract
The Lamb dipole is a traveling wave solution to the two-dimensional Euler equations introduced by Chaplygin (Trudy Otd Fiz Nauk Imper Mosk Obshch Lyub Estest 11:11-14, 1903) and Lamb (Hydrodynamics, 1906.) at the early 20th century. We prove the orbital stability of this solution based on a vorticity method initiated by Arnold. Our method is a minimization of a penalized energy with multiple constraints that deduces existence and orbital stability for a family of traveling waves. As a typical case, the orbital stability of the Lamb dipole is deduced by characterizing a set of minimizers as an orbit of the dipole by a uniqueness theorem in the variational setting.
URI
https://scholarworks.unist.ac.kr/handle/201301/57657
URL
https://link.springer.com/article/10.1007/s00205-022-01782-4
DOI
10.1007/s00205-022-01782-4
ISSN
0003-9527
Appears in Collections:
MTH_Journal Papers
Files in This Item:
There are no files associated with this item.

find_unist can give you direct access to the published full text of this article. (UNISTARs only)

Show full item record

qrcode

  • mendeley

    citeulike

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

MENU