
handle: 20.500.11824/590
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.
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
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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