Open AccessConvergence of the linearized system for a compressible Navier-Stokes-Poission system
Author(s) -
Ying Dong
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1593/1/012019
Subject(s) - bounded function , compressibility , isentropic process , mathematics , mathematical analysis , dirichlet boundary condition , convergence (economics) , domain (mathematical analysis) , navier–stokes equations , poisson's equation , compressible flow , boundary value problem , limit (mathematics) , physics , mechanics , economics , economic growth
In this paper, we are concerned with the limit for solutions of combining viscid and compressible isentropic Navier-Stokes-Poisson system in a bounded domain Ω ⊂ R N , N ≥ 1, with Dirichlet boundary condition. We first derive Navier-Stokes-Poisson system by using Energetic Variational Approach. Then the convergence of the compressible isentropic Navier-Stokes-Poisson system to the linearized system is proven for the global weak solution and for the case of general initial data with satisfying appropriate conditions.