This is the third part of a series concerned with boundary layers in solutions of nonlinear hyperbolic systems of conservation laws. We consider here selfsimilar solutions of the Riemann problem,… (More)

We consider self-similar approximations of non-linear hyperbolic systems in one space dimension with Riemann initial data, especially the system ∂tuε + A(uε) ∂xuε = ε t ∂x(B(uε) ∂xuε), with ε > 0. We… (More)

This paper studies the boundary layers that generally arise in approximations of the entropy discontinuous solutions to the initial-boundary value problem associated with a nonlinear hyperbolic… (More)

A. Following pioneering work by Fan and Slemrod who studied the effect of artificial viscosity terms, we consider the system of conservation laws arising in liquid-vapor phase dynamics with… (More)

Whenν > 0, (1.1) is a system of nonlinear parabolic equation describ ing the interplay between nonlinearity and diffusion, ν being the viscosity parameter. Whenν = 0, the system (1.1) is hyperbolic… (More)

In this paper we prove existence of global solutions to boundaryvalue problems for two systems with a small viscosity coefficient and derive estimates uniform in the viscosity parameter. We do not… (More)