Abstract
In this Note, we consider the limit of Navier-Stokes equations on a circular domain. By an explicit construction of the solution, it is proved that, when viscosity goes to zero, solution converges to the Euler solution outside the boundary layer and to the Prandtl solution inside the boundary layer.
| Translated title of the contribution | Navier-Stokes equations on an exterior circular domain: Construction of the solution and the zero viscosity limit |
|---|---|
| Original language | French |
| Pages (from-to) | 861-866 |
| Number of pages | 6 |
| Journal | Comptes Rendus de l'Academie des Sciences - Series I: Mathematics |
| Volume | 324 |
| Issue number | 8 |
| DOIs | |
| State | Published - Apr 1997 |
ASJC Scopus subject areas
- Mathematics(all)
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Caflisch, R., & Sammartino, M. (1997). La limite pour la solution des équations de Navier-Stokes quand la viscosité tend vers zéro. Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, 324(8), 861-866. https://doi.org/10.1016/S0764-4442(97)86959-5