Summary
An elementary proof that the solution of the Cauchy problem for the Navier-Stokes equations converges, in an appropriate sense, to the solution of the Euler equations on a small time interval is given. A partial result is given in the case of initial boundary-value problems.
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Ton, B.A. Non stationary Navier-Stokes flows with vanishing viscosity. Rend. Circ. Mat. Palermo 27, 113–129 (1978). https://doi.org/10.1007/BF02843932
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DOI: https://doi.org/10.1007/BF02843932