Vanishing viscosity limits for the 3D Navier-Stokes equations with a slip boundary condition
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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.References
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Additional Information
- Xin Zhong
- Affiliation: School of Mathematics and Statistics, Southwest University, Chongqing 400715, People’s Republic of China
- Email: xzhong1014@amss.ac.cn
- 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
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 1615-1628
- MSC (2010): Primary 35Q30; Secondary 35Q35
- DOI: https://doi.org/10.1090/proc/13326
- MathSciNet review: 3601552