Optimal decay rates for higher-order derivatives of solutions to 3D compressible Navier-Stokes-Poisson equations with external force
Files
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. Electronic Journal of Differential Equations, 2022(64), pp. 1-18.
Rights
Attribution 4.0 International