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The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics. Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy and entropy.

Maxwell-Boltzmann distribution law --- Fluid dynamics --- Atomic Physics --- Physics --- Physical Sciences & Mathematics --- Mathematics --- Maxwell-Boltzmann distribution law. --- Mathematics. --- Boltzmann distribution law --- Maxwell-Boltzmann density function --- Maxwell distribution --- Physics. --- Partial differential equations. --- Continuum physics. --- Statistics. --- Classical Continuum Physics. --- Partial Differential Equations. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Classical field theory --- Continuum physics --- Continuum mechanics --- Partial differential equations --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Distribution (Probability theory) --- Kinetic theory of gases --- Differential equations, partial. --- Classical and Continuum Physics. --- Statistics .

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Partial differential equations --- Classical mechanics. Field theory --- Statistical physics --- Thermodynamics --- Engineering sciences. Technology --- differentiaalvergelijkingen --- thermodynamica --- statistische kwaliteitscontrole --- industriële statistieken --- mechanica

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Boundary layer. --- Ocean circulation. --- Couche limite. --- Circulation océanique. --- Ocean currents --- Ocean circulation --- Couche limite --- Courants marins --- Circulation océanique --- Mathematical models. --- Modèles mathématiques