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Journal of Differential Equations
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Low Mach number limit of viscous polytropic fluid flows

Authors: Ou, Y.;

Low Mach number limit of viscous polytropic fluid flows

Abstract

This paper studies the singular limit of the non-isentropic Navier-Stokes equations with zero thermal coefficient in a two-dimensional bounded domain as the Mach number goes to zero. A uniform existence result is obtained in a time interval independent of the Mach number, provided that the initial data satisfy the "bounded derivative conditions", that is, the time derivatives up to order two are bounded initially, and Navier's slip boundary condition is imposed.

Country
Spain
Keywords

Mach number, Navier-Stokes equations for incompressible viscous fluids, slip boundary condition, Gas dynamics (general theory), singular limit, Singular limit, non-isentropic, Navier–Stokes equations, Non-isentropic, Viscous-inviscid interaction for compressible fluids and gas dynamics, Navier-Stokes equations, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Top 10%
Top 10%
Average
Green
hybrid
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