a riemann problem with small viscosity and dispersion
;Kayyunnapara Thomas Joseph
icsoft 2006 - 1st international conference on software and data technologies, proceedings2006Vol. 2006pp. 1-8
154
joseph2006electronica
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.