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

Date

2022-09-07

Authors

Qin, Liuna
Xiao, Changguo
Zhang, Yinghui

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Compressible Navier-Stokes-Poisson system, External force, Higher-order derivative

Citation

Qin, 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. <i>Electronic Journal of Differential Equations, 2022</i>(64), pp. 1-18.

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Attribution 4.0 International

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