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