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Remarks about the Inviscid Limit of the Navier–Stokes System

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Abstract

In this paper we prove two results about the inviscid limit of the Navier-Stokes system. The first one concerns the convergence in H s of a sequence of solutions to the Navier-Stokes system when the viscosity goes to zero and the initial data is in H s. The second result deals with the best rate of convergence for vortex patch initial data in 2 and 3 dimensions. We present here a simple proof which also works in the 3D case. The 3D case is new.

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  1. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY, 10012-1185, USA

    Nader Masmoudi

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  1. Nader Masmoudi
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Correspondence to Nader Masmoudi.

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Communicated by P. Constantin

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Masmoudi, N. Remarks about the Inviscid Limit of the Navier–Stokes System. Commun. Math. Phys. 270, 777–788 (2007). https://doi.org/10.1007/s00220-006-0171-5

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  • DOI: https://doi.org/10.1007/s00220-006-0171-5

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