Convergence of the two‐fluid compressible Navier–Stokes–Poisson system to the incompressible Euler equations

In this paper, we consider the combined quasi‐neutral and inviscid limits of the two‐fluid compressible Navier–Stokes–Poisson system in the unbounded domain R2×T with the ill‐prepared initial data. We prove that the weak solutions of the compressible Navier–Stokes–Poisson system converge to the stro...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2020-07, Vol.43 (10), p.6262-6275
Main Authors: Kwon, Young‐Sam, Li, Fucai
Format: Article
Language:English
Subjects:
combined quasi‐neutral and inviscid limits
Compressibility
Convergence
Euler-Lagrange equation
Eulers equations
Fluid dynamics
Fluid flow
general initial data
incompressible Euler equations
Incompressible flow
Navier-Stokes equations
viscous two‐fluid model
whole space
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Summary:In this paper, we consider the combined quasi‐neutral and inviscid limits of the two‐fluid compressible Navier–Stokes–Poisson system in the unbounded domain R2×T with the ill‐prepared initial data. We prove that the weak solutions of the compressible Navier–Stokes–Poisson system converge to the strong solution of the incompressible Euler equation as long as the latter exists. Moreover, the convergence rates are also obtained.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6369