TY - JOUR

T1 - Navier-Stokes equations on an exterior circular domain

T2 - Construction of the solution and the zero viscosity limit

AU - Caflisch, Russel

AU - Sammartino, Marco

N1 - Funding Information:
The space N,'(./ in the above Theorem differs from the space //,'t/ for the fact that derivatives with respect to r are taken only up to second order. The ACK theorem and an estimate in L~t! for the Stokes operator (see [6]) are the ingredients for the proof of the above theorem (for details see [I].) (') Research supported in part by DARPA under URI grant #NOOOI4092-J-1890. (2) Research supported in part by the GNFM of CNR.

PY - 1997/4

Y1 - 1997/4

N2 - 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.

AB - 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.

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U2 - 10.1016/S0764-4442(97)86959-5

DO - 10.1016/S0764-4442(97)86959-5

M3 - Article

AN - SCOPUS:0031116236

SN - 0764-4442

VL - 324

SP - 861

EP - 866

JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 8

ER -