Artículos de revistas
Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows
Registro en:
Bulletin Of The Brazilian Mathematical Society. Springer, v. 39, n. 4, n. 471, n. 513, 2008.
1678-7544
WOS:000261619300001
10.1007/s00574-008-0001-9
Autor
Lopes, MC
Mazzucato, AL
Lopes, HJN
Taylor, M
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) We continue the work of Lopes Filho, Mazzucato and Nussenzveig Lopes [10] on the vanishing viscosity limit of circularly symmetric viscous flow in a disk with rotating boundary, shown there to converge to the inviscid limit in L(2)-norm as long as the prescribed angular velocity alpha(t) of the boundary has bounded total variation. Here we establish convergence in stronger L(2) and L(p)-Sobolev spaces, allow for more singular angular velocities a, and address the issue of analyzing the behavior of the boundary layer. This includes an analysis of concentration of vorticity in the vanishing viscosity limit. We also consider such flows on an annulus, whose two boundary components rotate independently. 39 4 471 513 Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) NSF [DMS-0405803, DMS-0456861] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq [302.102/2004-3, 302.214/2004-6] NSF [DMS-0405803, DMS-0456861]