A Riemann problem with small viscosity and dispersion
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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.
CitationJoseph, K. T. (2006). A Riemann problem with small viscosity and dispersion. Electronic Journal of Differential Equations, 2006(116), pp. 1-8.
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