|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Existence of steady
multiple vortex patches to the vortex-wave system
Daomin Cao and Guodong Wang |
|
Vol. 308 (2020), No. 2, 257–279
|
Abstract |
|
We prove the existence of steady multiple vortex patch solutions to the vortex-wave system in a planar bounded domain. The construction is performed by solving a certain variational problem for the vorticity and studying the asymptotic behavior as the vorticity strength goes to infinity. |
Keywords
vortex-wave system, vortex patch, Euler equations,
Kirchhoff–Routh function, variational problem
|
Mathematical Subject Classification 2010
Primary: 35J50, 35Q35
|
Milestones
Received: 11 June 2018
Accepted: 10 July 2020
Published: 9 December 2020
|
Authors |
| Daomin Cao | |
| Institute of Applied
Mathematics Chinese Academy of Sciences Beijing, China |
|
| Guodong Wang | |
| Institute for Advanced Study in
Mathematics Harbin Institute of Technology Harbin, China |
|
