等熵可压缩Navier-Stokes方程经典解的爆破  

Blow up of Classical Solutions to Isentropic Compressible Navier-Stokes Equations

作　　者：周骁[1] Zhou Xiao(School of Mathematics,Physics and Optoelectronic Engineering,Hubei University of Automotive Technology,Shiyan 442002,China)

机构地区：[1]湖北汽车工业学院数理与光电工程学院,湖北十堰442002

出　　处：《湖北汽车工业学院学报》2023年第3期78-80,共3页Journal of Hubei University Of Automotive Technology

基　　金：湖北省教育厅科学技术研究项目(Q20221802)。

摘　　要：在速度梯度满足特定衰减约束且初始总动量不为零的假设下,讨论了三维空间中的等熵可压缩NavierStokes方程组柯西问题的爆破行为,所得结论推广了经典解的长时间行为的一些已有经典理论。The blow up behavior of the Cauchy problem of isentropic compressible Navier-Stokes equations in three-dimensional space was discussed under the assumption that the velocity gradient satisfied certain decay constraints,and the initial total momentum did not vanish.The obtained conclusions are generalizations of the well-known results of some existing classical theories on the long-term behavior of classical solutions.

关 键 词：NAVIER-STOKES方程 可压缩 等熵 爆破 

分 类 号：O175[理学—数学]