Asymptotic Behavior of Solutions to One-Dimensional Compressible Navier-Stokes-Poisson Equations with Large Initial Data
Year: 2022
Author: Lan Zhang, Huijiang Zhao, Qingsong Zhao
Communications in Mathematical Analysis and Applications, Vol. 1 (2022), Iss. 2 : pp. 285–318
Abstract
In this paper, we are concerned with the large time behavior of global solutions to the Cauchy problem of one-dimensional compressible Navier-Stokes-Poisson equations with density and/or temperature dependent transport coefficients and large initial data. The initial data are assumed to be without vacuum and mass concentrations, and the same is shown to be hold for the global solution constructed. The proof is based on some detail analysis on uniform positive lower and upper bounds of the specific volume and the absolute temperature.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmaa.2022-0002
Communications in Mathematical Analysis and Applications, Vol. 1 (2022), Iss. 2 : pp. 285–318
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 34
Keywords: Navier-Stokes-Poisson equations global solutions with large data density and/or temperature dependent transport coefficients.