TY - JOUR
T1 - Global Solution of Euler-Poisson System in the Inviscid Limit of Navier-Stokes-Poisson System with General Density Dependent Viscosities
AU - Wang , Weiqiang
AU - Wang , Yong
JO - Communications in Mathematical Analysis and Applications
VL - 2
SP - 199
EP - 265
PY - 2024
DA - 2024/07
SN - 3
DO - http://doi.org/10.4208/cmaa.2024-0010
UR - https://global-sci.org/intro/article_detail/cmaa/23228.html
KW - Euler-Poisson system, Navier-Stokes-Poisson system, inviscid limit, density dependent viscosities, spherical symmetry.
AB - <p style="text-align: justify;">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)].</p>