In this paper we show how using a relativistic kinetic equation the ensuing expression for the heat flux can be cast in the form required by Classical Irreversible Thermodynamics. Indeed, it is linearly related to the temperature and number density gradients and not to the acceleration as the so...

The hydrodynamic interactions between two rotating tori is studied. Two kinds of problems are addressed. The interaction between two force free tori is examined, for co and counter rotating cases, which should be relevant in the case of swimming of two toroidal animals and form the basis for...

In the present work we derive the volume continuity equation and demonstrate its use to define the volume frame of reference in the multicomponent, compressible systems. The volume velocity (material velocity) is a unique frame of reference for all internal forces and processes, e.g., the mass...

The long-time rotational motion of a set of rigid bodies immersed in a viscous fluid is studied on the basis of the linearized Navier–Stokes equations. After an initial twist applied to one of the bodies the rotational motion of each of them decays at long times with a t-5/2 long-time tail....

Classical equations for transport processes predict infinite speed of the perturbations propagation. From molecular point of view, this feature is rather doubtful, because, for instance in gas or plasma, any perturbation propagates as a result of molecules or charged particles (ions, electrons)...

In this paper, we introduce and discuss the passage to hydrodynamic equations for kinetic models of conservative economies, in which the density of wealth depends on additional parameters, like the propensity to invest. As in kinetic theory of rarefied gases, the closure depends on the knowledge...

A modification of the classical Navier–Stokes equations has recently been proposed by Brenner [Is the tracer velocity of a fluid continuum equal to its mass velocity? Phys. Rev. E 70 (2004) Art. No. 061201; Kinematics of volume transport, Physica A 349 (2005) 11–59; Navier–Stokes revisited,...

Discrete models of dislocations in cubic crystal lattices having one or two atoms per unit cell are proposed. These models have the standard linear anisotropic elasticity as their continuum limit and their main ingredients are the elastic stiffness constants of the material and a dimensionless...