##
Vanishing Viscosity Limit for Initial-Boundary Value Problems
for Conservation Laws

#### Author: Gui-Qiang Chen and Hermano Frid

#### Title:
Vanishing Viscosity Limit for Initial-Boundary Value Problems
for Conservation Laws

**Abstract**

The convergence of the vanishing viscosity
method for initial-boundary value problems is analyzed for nonlinear
hyperbolic conservation laws through several representative systems.
%with interest in applications.
Some techniques are developed to construct the global viscous solutions
and establish the $H^{-1}$ compactness of entropy dissipation measures
for the convergence of the viscous solutions with general
initial-boundary conditions.
The representative examples considered include the systems of
isentropic gas dynamics, nonlinear elasticity, and chromatography.

This article has appeared in:

* Contemporary Mathematics (American Mathematical Society)*,
**vol. 238**, pages 35-51 (2000)

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A closely related paper is Change me.

**Author Address**
Department of Mathematics
Northwestern University
Evanston, IL 60208-2730
gqchen@math.nwu.edu