TY - JOUR
T1 - La limite pour la solution des équations de Navier-Stokes quand la viscosité tend vers zéro
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
VL - 324
SP - 861
EP - 866
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
SN - 1631-073X
IS - 8
ER -