%0 Journal Article
%T 临界阻尼型Navier-Stokes方程在Lei-Lin-Gevrey空间<math xmlns='http://www.w3.org/1998/Math/MathML'> <mrow>  <msubsup>   <mi>X</mi>   <mrow>    <mi>a</mi><mo>,</mo><mi>&#x03C3;</mi></mrow>   <mn>0</mn>  </msubsup>  <mrow><mo>(</mo>   <mrow>    <msup>     <mi>&#x211D;</mi>     <mn>3</mn>    </msup>    </mrow>  <mo>)</mo></mrow></mrow></math>中的局部适定性<br>The Local Suitability of the Critical Damping Navier-Stokes Equation in Lei-Lin-Gevrey Space <math xmlns='http://www.w3.org/1998/Math/MathML'> <mrow>  <msubsup>   <mi>X</mi>   <mrow>    <mi>a</mi><mo>,</mo><mi>&#x03C3;</mi></mrow>   <mn>0</mn>  </msubsup>  <mrow><mo>(</mo>   <mrow>    <msup>     <mi>&#x211D;</mi>     <mn>3</mn>    </msup>    </mrow>  <mo>)</mo></mrow></mrow></math>
%A 刘爱博
%A 常莹
%J Pure Mathematics
%P 138-146
%@ 2160-7605
%D 2025
%I Hans Publishing
%R 10.12677/pm.2025.152055
%X 本文证明带有临界型阻尼项的Navier-Stokes方程在Lei-Lin-Gevrey空间<math xmlns='http://www.w3.org/1998/Math/MathML'>
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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。<br>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 <math xmlns='http://www.w3.org/1998/Math/MathML'>
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. 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.
%K 阻尼&#65292
%K Navier-Stokes方程&#65292
%K Lei-Lin-Gevrey空间&#65292
%K 局部解<br>Damping
%K Navier-Stokes Equations
%K Lei-Lin-Gevrey Space
%K Local Solution
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=108263