|
| | | | |
| | | |
| Stat |
Members: 3665
Articles: 2'599'751
Articles rated: 2609
19 January 2025 |
|
| | | | |
|
Article overview
| |
|
|
Slow traveling-wave solutions for the generalized surface quasi-geostrophic equation | | Daomin Cao
; Shanfa Lai
; Guolin Qin
; | | Date: |
1 Jan 2023 | | Abstract: | In this paper, we systematically study the existence, asymptotic behaviors,
uniqueness, and nonlinear orbital stability of traveling-wave solutions with
small propagation speeds for the generalized surface quasi-geostrophic (gSQG)
equation. Firstly we obtain the existence of a new family of global solutions
via the variational method. Secondly we show the uniqueness of maximizers under
our variational setting. Thirdly by using the variational framework, the
uniqueness of maximizers and a concentration-compactness principle we establish
some stability theorems. Moreover, after a suitable transformation, these
solutions constitute the desingularization of traveling point vortex pairs. | | Source: | arXiv, 2301.00368 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
REGISTER