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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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