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Linear Theory Small Reynolds Numbers
Weakly Nonlinear Theory Finite Reynolds Numbers
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analysis Appendix asymptotic analysis asymptotic theory behavior Bifurcation diagram BKW equation BKW model Boltzmann equation boundary condition boundary-layer boundary-value problem Chapter classical gas dynamics coefficients collision integral complete condensation condition component function condensed phase continuum limit corresponding cylinder derived determined dfsBo diffuse reflection discussion Euler set expansion expressed finite fluid-dynamic-type equations Footnote formulas given Golse half-space half-space problem hard-sphere gas heat flow Hilbert solution infinity inhomogeneous term integral equation kinetic Knudsen-layer correction layer Mach number macroscopic variables Maxwellian mean free path molecular molecules Navier-Stokes set nondimensional nonlinear obtained parameters particle pipe pressure Psbo quantities relation right-hand side satisfy set of equations simple boundary slip condition small Knudsen numbers solvability condition Sone & Aoki Stokes set stress subscript Sugimoto symmetric Takata temperature field temperature gradient tensor thermal conductivity thermal-stress Tsbo vector velocity distribution function VisBi viscous