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- W4310888909 abstract "We derive the 1D isentropic Euler and Navier-Stokes equations describing the motion of a gas through a nozzle of variable cross section as the asymptotic limit of the 3D isentropic Navier-Stokes system in a cylinder, the diameter of which tends to zero. Our method is based on the relative energy inequality satisfied by any weak solution of the 3D Navier-Stokes system and a variant of Korn-Poincare's inequality on thin channels that may be of independent interest." @default.
- W4310888909 created "2022-12-20" @default.
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- W4310888909 date "2015-11-19" @default.
- W4310888909 modified "2023-10-11" @default.
- W4310888909 title "A rigorous justification of the Euler and Navier-Stokes equations with geometric effects" @default.
- W4310888909 doi "https://doi.org/10.48550/arxiv.1511.06136" @default.
- W4310888909 hasPublicationYear "2015" @default.
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