Record Details
Vanishing viscosity in the plane for nondecaying velocity and vorticity, II
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | Vanishing viscosity in the plane for nondecaying velocity and vorticity, II |
| Names |
Cozzi, Elaine
(creator) |
| Date Issued | 2014-08-22 (iso8601) |
| Note | This is the publisher’s final pdf. The published article is copyrighted by the Mathematical Sciences Publishers and can be found at: http://msp.org/pjm/2014/270-2/index.xhtml. |
| Abstract | We consider solutions to the two-dimensional incompressible Navier-Stokes and Euler equations for which velocity and vorticity are bounded in the plane. We show that for every T > 0, the Navier-Stokes velocity converges in L∞([0,T]; L∞(R²)) as viscosity approaches 0 to the Euler velocity generated from the same initial data. This improves our earlier results to the effect that the vanishing viscosity limit holds on a sufficiently short time interval, or for all time under the assumption of decay of the velocity vector field at infinity. |
| Genre | Article |
| Topic | fluid mechanics |
| Identifier | Cozzi, E. (2014). Vanishing viscosity in the plane for nondecaying velocity and vorticity, II. Pacific Journal of Mathematics, 270(2), 335-350. doi:10.2140/pjm.2014.270.335 |
