Global large solutions to the two-dimensional compressible Navier–Stokes equations

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作者
Xiaoping Zhai
Zhi-Min Chen
机构
[1] Shenzhen University,School of Mathematics and Statistics
关键词
Compressible Navier–Stokes equations; Global large solutions; Littlewood–Paley theory; 35Q35; 76N10; 35B40;
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摘要
We obtain the global large solutions to the compressible Navier–Stokes equations in R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R}}^2$$\end{document}. The solution is large in the sense that there is no smallness assumption applied to one component of the initial incompressible velocity.
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