On the Low Mach Number Limit for the Compressible Euler System Article Swipe
Related Concepts
Inviscid flow
Euler system
Mach number
Dissipative system
Mathematics
Euler equations
Euler's formula
Limit (mathematics)
Compressibility
Compressible flow
Mathematical analysis
Zero (linguistics)
Measure (data warehouse)
Semi-implicit Euler method
Dispersion (optics)
Backward Euler method
Classical mechanics
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Philosophy
Eduard Feireisl
,
Christian Klingenberg
,
Simon Markfelder
·
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1137/17m1131799
· OA: W2798375617
YOU?
·
· 2019
· Open Access
·
· DOI: https://doi.org/10.1137/17m1131799
· OA: W2798375617
In this paper, we propose a new approach to singular limits of inviscid fluid\nflows based on the concept of dissipative measure-valued solutions. We show\nthat dissipative measure-valued solutions of the compressible Euler equations\nconverge to the smooth solution of the incompressible Euler system when the\nMach number tends to zero. This holds both for well-prepared and ill-prepared\ninitial data, where in the latter case the presence of acoustic waves causes\ndifficulties. However this effect is eliminated on unbounded domains thanks to\ndispersion.\n
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