Vanishing viscosity in the plane for nondecaying velocity and vorticity, II

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/mc87ps26h

Descriptions

Attribute Name	Values
Creator	Cozzi, Elaine
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. 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. Keywords: inviscid limit, fluid mechanics
Resource Type	Article
DOI	https://doi.org/10.2140/pjm.2014.270.335
Date Available	2015-02-17T20:37:24+00:00
Date Issued	2014-08-22
Citation	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
Journal Title	Pacific Journal of Mathematics
Journal Volume	270
Journal Issue/Number	2
Déclaration de droits	Copyright Not Evaluated
Funding Statement (additional comments about funding)	This work was supported by the National Science Foundation under grant DMS-1049698.
Publisher	Mathematical Sciences Publishers
Peer Reviewed	Yes
Language	English [eng]
Replaces	http://hdl.handle.net/1957/55119