Uniform boundedness of the radially symmetric solutions of the Navier-Stokes equations for isentropic compressible fluids
Uniform boundedness of the radially symmetric solutions of the Navier-Stokes equations for isentropic compressible fluids
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DOI：
10.18910/8561
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发表时间：
2009-09
影响因子：
0.4
通讯作者：
Jishan Fan;Song Jiang;Guoxi Ni
中科院分区：
文献类型：
--
作者：
Jishan Fan;Song Jiang;Guoxi Ni
研究了环形区域中具有径向对称数据和非负初始密度的等熵可压缩Navier-Stokes方程。我们证明了强解的整体存在性。此外，我们还得到了密度在时间上的一致L1有界性和速度在时间上的一致H1有界性，从而改进了文[2]中的相应结果，其中条件2是保证存在性的必要条件.
We study the isentropic compressible Navier-Stokes equations with radially symmetric data and non-negative initial density in an annular domain. We prove the global existence of strong solutions for any 1. Moreover, we obtain the uniform in time L1-boundedness of the density and H 1-boundedness of the velocity, improving therefore the corresponding result in [2], where the condition 2 is required to guarantee the existence.