Joseph, Kayyunnapara Thomas2021-07-202021-07-202006-09-26Joseph, K. T. (2006). A Riemann problem with small viscosity and dispersion. <i>Electronic Journal of Differential Equations, 2006</i>(116), pp. 1-8.1072-6691https://hdl.handle.net/10877/13989In 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.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalElastodynamics equationViscosityDispersionRiemann problemArticle