A kinetic description of anisotropic fluids with multivalued internal energy

摘要: Abstract This work is concerned with some extensions of the classical compressible Euler model fluid dynamics in which internal energy a measure-valued quantity. A first extension was derived from hydrodynamic limit kinetic involving specific class collision operators typical quasi-linear plasma theory (see Eur. J. Mech. B Fluids 20 (2001) 303–327, and Contin. Thermodyn. 10 (1998) 153–178). In these papers operator simply describes isotropization distribution function about averaging velocity. present we introduce new such models relaxed anisotropic. Similarly to (Eur. 303–327) (Contin. 153–178) this equation that relaxes anisotropic equilibria. We then investigate diffusive corrections fluid-dynamical using Chapman–Enskog techniques show how character affects expression viscosity heat flux.