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Continuum mechanics (e.g., hydrodynamics, elasticity theory) is based on the assumption
that a small set of fields provides a closed description on large space and time scales.
Conditions governing the choice for these fields are discussed in the context of granular
fluids and multi-component fluids. In the first case, the relevance of temperature or
energy as a hydrodynamic field is justified. For mixtures, the use of a total temperature
and single...
We show that Boltzmann's collision operator can be written explicitly
in divergence and double divergence forms. These conservative
formulations may be of interest for both theoretical and numerical
purposes. We give an application to the asymptotics of grazing
collisions.
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