We introduce a new" second order" model of traffic flow. As noted in [C. Daganzo, Requiem
for second-order fluid with approximation to traffic flow, Transportation Res. Part B, 29 …

Systems of conservation laws arise naturally in physics and chemistry. To understand them
and their consequences (shock waves, finite velocity wave propagation) properly in …

We consider the Cauchy problem for a strictly hyperbolic, n× n system in one-space
dimension:, assuming that the initial data have small total variation. We show that the …

We derive a detailed, pointwise description of the asymptotic behavior of solutions of the
Cauchy problem for the Navier-Stokes equations of compressible flow in several space …

Considered as rest points of ODE on Lp, stationary viscous shock waves present a critical
case for which standard semigroup methods do not suffice to determine stability. More …

STANFORD ARTIFICIAL INTELLIGENCE PROJECT MEMO A IM-160 COMPUTER
SCIENCE DEPARTMENT REPORT NO. k-255 . AUTOMAT IC PROGRAMM I NG Page 1 …

This work should serve as an introductory text for graduate students and researchers
working in the important area of partial differential equations with a focus on problems …

In 2, we determined a unique" effective artificial viscosity" system approximating the
behavior of the compressible Navier-Stokes equations. Here, we derive a detailed …

The contact discontinuity is one of the basic wave patterns in gas motions. The stability of
contact discontinuities with general perturbations for the Navier–Stokes equations and the …

We are concerned with the large-time behavior of solutions of the Cauchy problem to the
one-dimensional compressible Navier–Stokes system for ideal polytropic fluids, where the …