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Volume 1, Issue 2
Asymptotic Behavior of Solutions to One-Dimensional Compressible Navier-Stokes-Poisson Equations with Large Initial Data

Lan Zhang, Huijiang Zhao & Qingsong Zhao

DOI: 10.4208/cmaa.2022-0002

Commun. Math. Anal. Appl., 1 (2022), pp. 285-318.

Published online: 2022-03

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  • 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.

  • Keywords

Navier-Stokes-Poisson equations, global solutions with large data, density and/or temperature dependent transport coefficients.

  • AMS Subject Headings

35Q30, 35B40, 35A01

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMAA-1-285, author = {Zhang , LanZhao , Huijiang and Zhao , Qingsong}, title = {Asymptotic Behavior of Solutions to One-Dimensional Compressible Navier-Stokes-Poisson Equations with Large Initial Data}, journal = {Communications in Mathematical Analysis and Applications}, year = {2022}, volume = {1}, number = {2}, pages = {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.

}, issn = {2790-1939}, doi = {https://doi.org/10.4208/cmaa.2022-0002}, url = {http://global-sci.org/intro/article_detail/cmaa/20309.html} }
TY - JOUR T1 - Asymptotic Behavior of Solutions to One-Dimensional Compressible Navier-Stokes-Poisson Equations with Large Initial Data AU - Zhang , Lan AU - Zhao , Huijiang AU - Zhao , Qingsong JO - Communications in Mathematical Analysis and Applications VL - 2 SP - 285 EP - 318 PY - 2022 DA - 2022/03 SN - 1 DO - http://doi.org/10.4208/cmaa.2022-0002 UR - https://global-sci.org/intro/article_detail/cmaa/20309.html KW - Navier-Stokes-Poisson equations, global solutions with large data, density and/or temperature dependent transport coefficients. AB -

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.

Lan Zhang, Huijiang Zhao & Qingsong Zhao. (2022). Asymptotic Behavior of Solutions to One-Dimensional Compressible Navier-Stokes-Poisson Equations with Large Initial Data. Communications in Mathematical Analysis and Applications. 1 (2). 285-318. doi:10.4208/cmaa.2022-0002
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