%0 Journal Article
%T 带有指数阻尼项的三维Navier-Stokes方程吸引子的存在性<br>Existence of Attractors for the Three-Dimensional Navier-Stokes Equations with Exponential Damping
%A 刘爱博
%A 刘佳
%J Advances in Applied Mathematics
%P 4129-4143
%@ 2324-8009
%D 2024
%I Hans Publishing
%R 10.12677/aam.2024.139394
%X 近些年&#65292;带有多项式阻尼项的Navier-Stokes方程被推导且得到研究&#65292;并且得出了很多重要结论。本文证明了带有指数阻尼项<math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'>
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的三维Navier-Stokes方程在有界区域上整体吸引子的存在性。<br>In recent years, the Navier-Stokes equations with polynomial damping have been derived and studied, and many important conclusions have been drawn. In this paper, we show that the three-dimensional Navier-Stokes equations with exponential damping <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'>
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 have global attractors in the bounded domain.
%K 三维Navier-Stokes方程&#65292
%K 指数阻尼项&#65292
%K 吸引子<br>The Three-Dimensional Navier-Stokes Equations
%K Exponential Damping
%K Attractors
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=96175