Blowup of Smooth Solutions to the Navier-Stokes Equations for Compressible Isothermal Fluids
Blowup of Smooth Solutions to the Navier-Stokes Equations for Compressible Isothermal Fluids
复制标题
DOI：
10.4310/cms.2013.v11.n2.a11
复制
发表时间：
2011-08
期刊：
影响因子：
--
通讯作者：
Dapeng Du;Jingyu Li;Kaijun Zhang
中科院分区：
文献类型：
--
作者：
Dapeng Du;Jingyu Li;Kaijun Zhang
证明了当初始密度为紧支集时，一维或二维径向对称等温可压缩Navier-Stokes系统不存在非平凡的整体光滑解。这一结果推广了Xin的工作{XIN98}到等温情形.
It is shown that the one-dimensional or two-dimensional radially symmetric isothermal compressible Navier-Stokes system has no non-trivial global smooth solutions if the initial density is compactly supported. This result is a generalization of Xin's work \cite{Xin98} to the isothermal case.