Abstract
We establish the inviscid limit of the incompressible Navier-Stokes equations on the whole plane R2 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.
Original language | English (US) |
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Pages (from-to) | 2575-2598 |
Number of pages | 24 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 51 |
Issue number | 3 |
DOIs | |
State | Published - 2019 |
All Science Journal Classification (ASJC) codes
- Analysis
- Computational Mathematics
- Applied Mathematics