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Despite its conceptual and practical importance, a rigorous derivation of the steady incompressible Navier–Stokes–Fourier system from the Boltzmann theory has been an outstanding open problem for general domains in 3D. We settle this open question in the affirmative, in the presence of a small external field and a small boundary temperature variation for the diffuse boundary condition. We employ a...
This paper concerns the validity of the Prandtl boundary layer theory in the inviscid limit for steady incompressible Navier–Stokes flows. The stationary flows, with small viscosity, are considered on $$[0,L]\times \mathbb {R}_{+}$$ [ 0 , L ] × R + , with a no-slip boundary condition over a moving plate at $$y=0$$ y = 0 . We establish the validity of the Prandtl boundary layer...
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