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

Cauchy problem for the linearized bipolar isentropic Navier-Stokes-Poisson system in R2 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, L2 decay estimate of the solution is obtained.

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2025-05-16
DOI
https://doi.org/10.1051/wujns/2025302103/pdf
Primary Topic
Stability and Controllability of Differential Equations
Type
article
Field-Weighted Citation Impact
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article

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

Springer Link (Chiba Institute of Technology)
Stability and Controllability of Differential Equations
article

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

article en

Abstract

Cauchy problem for the linearized bipolar isentropic Navier-Stokes-Poisson system in R2 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, L2 decay estimate of the solution is obtained.

Springer Link (Chiba Institute of Technology)
Openalex Percentile: Top 31%
Stability and Controllability of Differential Equations
DOISourceOpenAlex
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