Global Solution of Euler-Poisson System in the Inviscid Limit of Navier-Stokes-Poisson System with General Density Dependent Viscosities

Global Solution of Euler-Poisson System in the Inviscid Limit of Navier-Stokes-Poisson System with General Density Dependent Viscosities

Year:    2024

Author:    Weiqiang Wang, Yong Wang

Communications in Mathematical Analysis and Applications, Vol. 3 (2024), Iss. 2 : pp. 199–265

Abstract

Based on delicate construction of approximate initial data sequence, elaborate estimates on the viscous terms and elegant analysis of the convergence of momentum equation, we succeed in establishing the global existence of spherically symmetric finite-energy weak solution of the compressible Euler-Poisson equations for large initial data through justifying the inviscid limit of the solutions of Navier-Stokes-Poisson equations with a very general class of density-dependent viscosities. Our results can serve as an extension of [Chen et al., Comm. Pure Appl. Math. 77(6) (2024)].

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cmaa.2024-0010

Communications in Mathematical Analysis and Applications, Vol. 3 (2024), Iss. 2 : pp. 199–265

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    67

Keywords:    Euler-Poisson system Navier-Stokes-Poisson system inviscid limit density dependent viscosities spherical symmetry.

Author Details

Weiqiang Wang

Yong Wang