A Riemann problem with small viscosity and dispersion
Date
2006-09-26
Authors
Joseph, Kayyunnapara Thomas
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper we prove existence of global solutions to a hyperbolic system in elastodynamics, with small viscosity and dispersion terms and derive estimates uniform in the viscosity-dispersion parameters. By passing to the limit, we prove the existence of solution the Riemann problem for the hyperbolic system with arbitrary Riemann data.
Description
Keywords
Elastodynamics equation, Viscosity, Dispersion, Riemann problem
Citation
Joseph, K. T. (2006). A Riemann problem with small viscosity and dispersion. <i>Electronic Journal of Differential Equations, 2006</i>(116), pp. 1-8.
Rights
Attribution 4.0 International