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Kinetic derivation of Cahn-Hilliard fluid models.

A compressible Cahn-Hilliard fluid model is derived from the kinetic theory of dense gas mixtures, using a Chapman-Enskog method with proper scaling of the generalized Boltzmann equations and higher-order Taylor expansions of pair distribution functions.

Second-order constitutive theory of fluids

A fully second-order continuum theory of fluids is developed. The conventional balance equations of mass, linear momentum, energy and entropy are used. Constitutive equations are assumed to depend on

Second-order constitutive theory of fluids

A fully second-order continuum theory of fluids is developed. The conventional balance equations of mass, linear momentum, energy and entropy are used. Constitutive equations are assumed to depend on

Kinetic Theory and Fluid Dynamics

In this series of talks, I will discuss the fluid-dynamic-type equations that is derived from the Boltzmann equation as its the asymptotic behavior for small mean free path. The study of the relation