Liuna Qin, Changguo Xiao, Yinghui Zhang
Abstract:
We investigate optimal decay rates for higher-order spatial
derivatives of solutions to the 3D compressible
Navier-Stokes-Poisson equations with external force.
The main novelty of this article is twofold:
First, we prove the first and second order spatial derivatives of
the solutions converge to zero at the L2-rate
(1+t)-5/4, which is faster than the L2-rate
(1+t)-3/4 in Li-Zhang [15].
Second, for well-chosen initial data, we show the lower optimal decay rates
of the first order spatial derivative of the solutions.
Therefore, our decay rates are optimal in this sense.
Submitted August 1, 2021. Published September 7, 2022.
Math Subject Classifications: 76B03, 35Q35.
Key Words: Compressible Navier-Stokes-Poisson system; external force; higher-order derivative.
DOI: https://doi.org/10.58997/ejde.2022.64
Show me the PDF file (377 KB), TEX file for this article.
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Liuna Qin School of Mathematics and Statistics Guangxi Normal University Guilin, Guangxi 541004, China email: liunaqin321@stu.gxnu.edu.cn |
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Changguo Xiao School of Mathematics and Statistics Guangxi Normal University Guilin, Guangxi 541004, China email: changguoxiao@mailbox.gxnu.edu.cn |
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Yinghui Zhang School of Mathematics and Statistics Guangxi Normal University Guilin, Guangxi 541004, China email: yinghuizhang@mailbox.gxnu.edu.cn |
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