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We prove that any weak space-time $L^2$ vanishing viscosity limit of a sequence of strong solutions of Navier-Stokes equations in a bounded domain of ${\mathbb{R}}^2$ satisfies the Euler equation if the solutions' local enstrophies are uniformly bounded.
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A Kato type theorem on zero viscosity limit of Navier-Stokes flows
X. Wang · 2001
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Euler equations for an ideal incompressible fluid
C. Bardos and E.S. Titi · 2007
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On Kato’s conditions for vanishing viscosity
J.P. Kelliher · 2007
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Vanishing viscosity and the accumulation of vorticity on the boundary
J.P. Kelliher · 2008
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Vanishing viscosity limit for incompressible flow inside a rotating circle
M.C. Lopes Filho, A.L. Mazzucato, and H.J. Nussenzveig Lopes · 2008
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Vanishing viscosity limits and boundary layers for circularly symmetric 2D flows
M.C. Lopes Filho, A.L. Mazzucato, H.J. Nussenzveig Lopes, and M. Taylor · 2008
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On the vanishing viscosity limit in a disk
J.P. Kelliher · 2009
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Mathematics and turbulence: where do we stand?
C. Bardos and E.S. Titi · 2013
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On the inviscid limit problem of the vorticity equations for viscous incompressible flows in the half-plane
Y. Maekawa · 2014
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On the inviscid limit of the Navier-Stokes equations
P. Constantin, I. Kukavica, and V. Vicol · 2015
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The vanishing viscosity limit for some symmetric flows
G.-M. Gie, J.P. Kelliher, M.C. Lopes Filho, H.J. Nussenzveig Lopes, and A.L. Mazzucato · 2015
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P. Constantin, T. Elgindi, M. Ignatova, and V. Vicol, Remarks on the inviscid limit for the Navier-Stokes equations for uniformly bounded velocity fields. SIAM J. Math. Anal., to appear (2017)
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Vanishing viscosity plane parallel channel flow and related singular perturbation problems
A. Mazzucato and M. Taylor · 2008
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