Optimal decay rates for higher-order derivatives of solutions to 3D compressible Navier-Stokes-Poisson equations with external force

Simple item page
dc.contributor.authorQin, Liuna
dc.contributor.authorXiao, Changguo
dc.contributor.authorZhang, Yinghui
dc.date.accessioned2023-05-15T17:29:06Z
dc.date.available2023-05-15T17:29:06Z
dc.date.issued2022-09-07
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationQin, L., Xiao, C., & Zhang, Y. (2022). Optimal decay rates for higher-order derivatives of solutions to 3D compressible Navier-Stokes-Poisson equations with external force. Electronic Journal of Differential Equations, 2022(64), pp. 1-18.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16788
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectCompressible Navier-Stokes-Poisson system
dc.subjectExternal force
dc.subjectHigher-order derivative
dc.titleOptimal decay rates for higher-order derivatives of solutions to 3D compressible Navier-Stokes-Poisson equations with external force
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
qin.pdf
Size:
368.75 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations