15 citations · 18 across the 3 of their papers we have counts for
3 papers
math-ph2010
On the kinetic theory of vehicular traffic flow: Chapman-Enskog expansion versus Grad's moment method
W. Marques, A. R. Mendez
Based on a Boltzmann-like traffic equation for aggressive drivers we construct in this paper a second-order continuum traffic model which is similar to the Navier-Stokes equations…
gr-qc2010★ 3 cited
Relativistic heat conduction: the kinetic theory approach and comparison with Marle's model
A. R. Mendez, A. L. Garcia-Perciante
In order to close the set of relativistic hydrodynamic equations, constitutive relations for the dissipative fluxes are required. In this work we outline the calculation of the cor…
gr-qc2010★ 15 cited
Heat conduction in relativistic neutral gases revisited
A. L. Garcia-Perciante, A. R. Mendez
The kinetic theory of dilute gases to first order in the gradients yields linear relations between forces and fluxes. The heat flux for the relativistic gas has been shown to be re…