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

http://ir.library.oregonstate.edu/concern/articles/mc87ps26h

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  • 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.
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  • 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
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  • description.provenance : Approved for entry into archive by Erin Clark(erin.clark@oregonstate.edu) on 2015-02-17T20:37:24Z (GMT) No. of bitstreams: 1 CozziElaineMathematicsVanishingViscosityPlane.pdf: 407240 bytes, checksum: c93a66d68216adcba9d01ba62f6f3ea4 (MD5)
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  • description.provenance : Submitted by Erin Clark (erin.clark@oregonstate.edu) on 2015-02-17T20:37:09Z No. of bitstreams: 1 CozziElaineMathematicsVanishingViscosityPlane.pdf: 407240 bytes, checksum: c93a66d68216adcba9d01ba62f6f3ea4 (MD5)

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