Euler System with a Polytropic Equation of State as a Vanishing Viscosity Limit

نویسندگان

چکیده

We consider the Euler system of gas dynamics endowed with incomplete equation state relating internal energy to mass density and pressure. show that any sufficiently smooth solution can be recovered as a vanishing viscosity - heat conductivity limit Navier--Stokes--Fourier properly defined temperature. The result is unconditional in case Navier type (slip) boundary conditions extends no-slip condition for velocity under some extra hypotheses Kato's concerning behavior fluid layer.

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ژورنال

عنوان ژورنال: Journal of Mathematical Fluid Mechanics

سال: 2022

ISSN: ['1422-6952', '1422-6928']

DOI: https://doi.org/10.1007/s00021-022-00690-7