6533b85ffe1ef96bd12c1a08
RESEARCH PRODUCT
Navier-Stokes equations on an exterior circular domain: construction of the solution and the zero viscosity limit
Russel E. CaflischMarco Sammartinosubject
Mathematical analysisPrandtl numberGeneral MedicineDomain (mathematical analysis)Euler equationsPhysics::Fluid Dynamicssymbols.namesakeBoundary layerViscosityEuler's formulasymbolsLimit (mathematics)Navier–Stokes equationsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-04-01 | Comptes Rendus de l'Académie des Sciences - Series I - Mathematics |