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Volume 3, Issue 2
Global Solution of Euler-Poisson System in the Inviscid Limit of Navier-Stokes-Poisson System with General Density Dependent Viscosities

Weiqiang Wang & Yong Wang

DOI: 10.4208/cmaa.2024-0010

Commun. Math. Anal. Appl., 3 (2024), pp. 199-265.

Published online: 2024-07

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  • 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)].

  • Keywords

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

  • AMS Subject Headings

35Q85, 85A30, 35L65, 35D30, 35Q31, 76N10

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{CMAA-3-199, author = {Wang , Weiqiang and Wang , Yong}, title = {Global Solution of Euler-Poisson System in the Inviscid Limit of Navier-Stokes-Poisson System with General Density Dependent Viscosities}, journal = {Communications in Mathematical Analysis and Applications}, year = {2024}, volume = {3}, number = {2}, pages = {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)].

}, issn = {2790-1939}, doi = {https://doi.org/10.4208/cmaa.2024-0010}, url = {http://global-sci.org/intro/article_detail/cmaa/23228.html} }
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 -

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)].

Wang , Weiqiang and Wang , Yong. (2024). Global Solution of Euler-Poisson System in the Inviscid Limit of Navier-Stokes-Poisson System with General Density Dependent Viscosities. Communications in Mathematical Analysis and Applications. 3 (2). 199-265. doi:10.4208/cmaa.2024-0010
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