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Vanishing viscosity limits for the 3D Navier-Stokes equations with a slip boundary condition


Author: Xin Zhong
Journal: Proc. Amer. Math. Soc. 145 (2017), 1615-1628
MSC (2010): Primary 35Q30; Secondary 35Q35
DOI: https://doi.org/10.1090/proc/13326
Published electronically: October 19, 2016
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Abstract: The solvability and vanishing viscosity limit for three dimensional incompressible Navier-Stokes equations with a slip boundary condition were obtained. The proof of these results is based on standard energy estimates.


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Xin Zhong
Affiliation: School of Mathematics and Statistics, Southwest University, Chongqing 400715, People’s Republic of China
Email: xzhong1014@amss.ac.cn

DOI: https://doi.org/10.1090/proc/13326
Keywords: Vanishing viscosity limits, slip boundary condition
Received by editor(s): March 2, 2016
Received by editor(s) in revised form: June 2, 2016
Published electronically: October 19, 2016
Communicated by: Joachim Krieger
Article copyright: © Copyright 2016 American Mathematical Society