Yadi Wang, Xin-Guang Yang, Xingjie Yan
Abstract:
This article concerns the long time dynamics of a 2D incompressible
Navier-Stokes equation with Rayleigh's friction and distributed delay.
Under appropriate assumptions on the external force and delay term,
we obtain global well-posedness in new phase spaces with delay.
Using uniform estimates and compact embedding, we obtain a global attractor.
Submitted June 21, 2018. Published June 12, 2019.
Math Subject Classifications: 35Q30, 35B40, 35B41, 76D03, 76D05.
Key Words: Navier-Stokes equations; distributed delay; Rayleigh's friction.
Show me the PDF file (373 KB), TEX file for this article.
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Yadi Wang School of Computer Science and Engineering Southeast University Ningjing, 211189, China email: yadiwang@seu.edu.cn |
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Xin-Guang Yang Department of Mathematics and Information Science Henan Normal University Xinxiang, 453007, China email: yangxinguang@hotmail.com |
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Xingjie Yan College of Science China University of Mining and Technology Xuzhou, 221008, China email: yanxj04@163.com |
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