Global Well-Posedness for the Full Compressible Navier-Stokes Equations

被引：0
|
作者：
Jinlu Li
Zhaoyang Yin
Xiaoping Zhai
机构：
[1] Gannan Normal University,School of Mathematics and Computer Sciences
[2] Sun Yat-sen University,Department of Mathematics
[3] Macau University of Science and Technology,Faculty of Information Technology
[4] Guangdong University of Technology,Department of Mathematics
[5] Shenzhen University,School of Mathematics and Statistics
来源：
Acta Mathematica Scientia | 2022年 / 42卷
关键词：
compressible Navier-Stokes equations; global well-posedness; Friedrich’s method; compactness arguments; 35Q35; 35K65; 76N10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We are concerned with the Cauchy problem regarding the full compressible Navier-Stokes equations in ℝd (d = 2, 3). By exploiting the intrinsic structure of the equations and using harmonic analysis tools (especially the Littlewood-Paley theory), we prove the global solutions to this system with small initial data restricted in the Sobolev spaces. Moreover, the initial temperature may vanish at infinity.
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页码：2131 / 2148
页数：17
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