## Yanshuo Li, Jun Liu, Yu-Zhu Wang, Large time behavior of solutions to wave equations arising from the linearized compressible Navier-Stokes-Poisson system

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DOI: 10.23952/jnva.3.2019.3.05
Volume 3, Issue 3, 1 December 2019, Pages 295-304

Abstract. This paper is concerned the large time behavior of solutions to wave equations arising from the linearized compressible Navier-Stokes-Poisson (CNSP) system. By a detailed analysis of solution operators, we prove that global solutions could be approximated by the convolution of the heat kernel $\sin t$ together with the heat kernel $\cos t$.