The global spherically symmetric classical solution of compressible Navier-Stokes-Poisson equations

In present paper, we are concerned with the compressible Navier-Stokes-Poisson equations with vacuum. Under the assumption of spherical symmetry for the initial conditions and certain compatibility conditions, we establish the global existence and uniqueness of spherically symmetric classical solutions by applying a priori estimates and the Lagrangian formulation.

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Publication Details

Journal
Discrete and Continuous Dynamical Systems - S
Published
2025-01-01
DOI
https://doi.org/10.3934/dcdss.2025119
Primary Topic
Navier-Stokes equation solutions
Type
article
Field-Weighted Citation Impact
0.00

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article

The global spherically symmetric classical solution of compressible Navier-Stokes-Poisson equations

Shouming Zhou, Xiaoxiao He, Min Li
Discrete and Continuous Dynamical Systems - S
Navier-Stokes equation solutions
article

The global spherically symmetric classical solution of compressible Navier-Stokes-Poisson equations

Shouming Zhou, Xiaoxiao He, Min Li
article en

Abstract

In present paper, we are concerned with the compressible Navier-Stokes-Poisson equations with vacuum. Under the assumption of spherical symmetry for the initial conditions and certain compatibility conditions, we establish the global existence and uniqueness of spherically symmetric classical solutions by applying a priori estimates and the Lagrangian formulation.

Discrete and Continuous Dynamical Systems - SVol. 0(0)
Chongqing Normal University (CN), Civil Aviation Flight University of China (CN)
Chongqing Normal University, Natural Science Foundation of Chongqing, Centre Scientifique et Technique du Bâtiment
Openalex Percentile: Top 70%
Navier-Stokes equation solutions
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