Name
Abstract | ||
|---|---|---|
We establish the inviscid limit of the incompressible Navier-Stokes equations on the whole plane R-2 for initial data having vorticity as a superposition of point vortices and a regular component. In particular, this rigorously justifies the vortex-wave system from the physical Navier-Stokes flows in the vanishing viscosity limit, a model that was introduced by Marchioro and Pulvirenti in the early 90s to describe the dynamics of point vortices in a regular ambient vorticity background. The proof rests on the previous analysis of Gallay in his derivation of the vortex-point system. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1137/19M1246602 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | DocType | Volume |
inviscid limit,vortex-wave system,Navier-Stokes | Journal | 51 |
Issue | ISSN | Citations |
3 | 0036-1410 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Toan T. Nguyen | 1 | 1 | 2.04 |
| Trinh T. Nguyen | 2 | 0 | 0.68 |