Vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier–Stokes equations with a slip boundary condition |
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| Authors: | Pengfei Chen Yuelong Xiao Hui Zhang |
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| Institution: | 1. School of Mathematics and Computational Science, Xiangtan University, Hunan, China;2. Department of Mathematics, Anqing Normal University, Anqing, Anhui, China |
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| Abstract: | In this paper, we investigate the vanishing viscosity limit for the 3D nonhomogeneous incompressible Navier–Stokes equations with a slip boundary condition. We establish the local well‐posedness of the strong solutions for initial boundary value problems for such systems. Furthermore, the vanishing viscosity limit process is established, and a strong rate of convergence is obtained as the boundary of the domain is flat. In addition, it is needed to add some additional condition for density to match well the boundary condition. Copyright © 2017 John Wiley & Sons, Ltd. |
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| Keywords: | nonhomogeneous incompressible Navier– Stokes equations vanishing viscosity limit slip boundary conditions |
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