临界阻尼型Navier-Stokes方程在Lei-Lin-Gevrey空间 X a,σ 0 ( ℝ 3 )中的局部适定性  

The Local Suitability of the Critical Damping Navier-Stokes Equation in Lei-Lin-Gevrey Space X a,σ 0 ( ℝ 3 )

作　　者：刘爱博 常莹 

机构地区：[1]辽宁师范大学数学学院,辽宁 大连

出　　处：《理论数学》2025年第2期138-146,共9页Pure Mathematics

摘　　要：本文证明带有临界型阻尼项的Navier-Stokes方程在Lei-Lin-Gevrey空间Xa,σ0(ℝ3)中存在唯一的局部解。文章利用不动点定理和热方程解的有关性质来证明这一主要结论。In this paper, it is proved that the Navier-Stokes equation with critical damping terms has a unique local solution in the Lei-Lin-Gevrey space Xa,σ0(ℝ3). In this paper, the main conclusion is proved by using the fixed point theorem and the related properties of the solution of the heat equation.

关 键 词：阻尼 NAVIER-STOKES方程 Lei-Lin-Gevrey空间 局部解 

分 类 号：O17[理学—数学]