Time Decay of Linearized Isentropic 2D Bipolar Navier-Stokes-Poisson System

Cauchy problem for the linearized bipolar isentropic Navier-Stokes-Poisson system in [see formula in PDF] is studied. Through the reformulation of unknown functions, we change the formal system into a linearized Navier-Stokes system and a unipolar Navier-Stokes-Poisson system. Based on a delicate analysis of the corresponding Green function, [see formula in PDF] decay estimate of the solution is obtained.

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Publication Details

Journal
Wuhan University Journal of Natural Sciences
Published
2025-04-01
DOI
https://doi.org/10.1051/wujns/2025302103
Primary Topic
Navier-Stokes equation solutions
Type
article
Field-Weighted Citation Impact
0.00

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article

Time Decay of Linearized Isentropic 2D Bipolar Navier-Stokes-Poisson System

Xiao Guo, Hongmei Xu
Wuhan University Journal of Natural Sciences
Navier-Stokes equation solutions
article

Time Decay of Linearized Isentropic 2D Bipolar Navier-Stokes-Poisson System

Xiao Guo, Hongmei Xu
article en

Abstract

Cauchy problem for the linearized bipolar isentropic Navier-Stokes-Poisson system in [see formula in PDF] is studied. Through the reformulation of unknown functions, we change the formal system into a linearized Navier-Stokes system and a unipolar Navier-Stokes-Poisson system. Based on a delicate analysis of the corresponding Green function, [see formula in PDF] decay estimate of the solution is obtained.

Wuhan University Journal of Natural SciencesVol. 30(2)
Hohai University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 85%
Navier-Stokes equation solutions
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