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• W2907897637 abstract "In this paper, we consider the steady irrotational Euler flows in multidimensional nozzles. The first rigorous proof on the existence and uniqueness of the incompressible flow is provided. Then, we justify the corresponding low Mach number limit, which is the first result of the low Mach number limit on the steady Euler flows. We establish several uniform estimates, which does not depend on the Mach number, to validate the convergence of the compressible flow with extra force to the corresponding incompressible flow, which is free from the extra force effect, as the Mach number goes to zero. The limit is on the Holder space and is unique. Moreover, the convergence rate is of order $varepsilon^2$, which is higher than the ones in the previous results on the low Mach number limit for the unsteady flow." @default.
• W2907897637 created "2019-01-11" @default.
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• W2907897637 date "2019-01-04" @default.
• W2907897637 modified "2023-09-23" @default.
• W2907897637 title "Low Mach Number Limit of Steady Euler Flows in Multi-Dimensional Nozzles" @default.
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• W2907897637 doi "https://doi.org/10.48550/arxiv.1901.01048" @default.
• W2907897637 hasPublicationYear "2019" @default.
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