The limits of Navier-Stokes theory and kinetic extensions for describing small-scale gaseous hydrodynamics

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A review on slip models for gas microflows (2012, methodology): “However, the higher-order continuum model cannot provide a proper treatment of the boundary conditions at the wall (Gu and Emerson 2007; Struchtrup and Torrilhon 2008), and is formally valid outside the KL (Hadjiconstantinou 2006).”
A high-order moment approach for capturing non-equilibrium phenomena in the transition regime (2009, result): “The precise extent of the Knudsen layer is not known, but a reasonable estimation is 1.5λ (Hadjiconstantinou 2006), which is in good agreement with the R26 prediction.”
Efficient simulation of multidimensional phonon transport using energy-based variance-reduced Monte Carlo formulations (2011, background): “cal uncertainties. A very interesting feature of variance-reduced methods is that the standard deviation of the results is proportional to the amplitude Tof the signal, as shown in Figure 9 (see also [5, 22, 23]). As a consequence, variance-reduced methods are able to provide the desired relative st”