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Zero-Viscosity Limit of the Navier–Stokes Equations in the Analytic Setting

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Abstract

In this paper, we consider the zero-viscosity limit of the Navier–Stokes equations in a half space with non-slip boundary condition. Based on the vorticity formulation and the use of conormal derivative, we develop an energy method to justify the zero-viscosity limit for the analytic data.

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Authors and Affiliations

  1. School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Chao Wang, Yuxi Wang & Zhifei Zhang

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  1. Chao Wang
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  2. Yuxi Wang
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  3. Zhifei Zhang
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Correspondence to Zhifei Zhang.

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Communicated by N. Masmoudi

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Wang, C., Wang, Y. & Zhang, Z. Zero-Viscosity Limit of the Navier–Stokes Equations in the Analytic Setting. Arch Rational Mech Anal 224, 555–595 (2017). https://doi.org/10.1007/s00205-017-1083-6

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  • DOI: https://doi.org/10.1007/s00205-017-1083-6

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