In this paper we considered a hyperbolic first order nonhomogeneous system of PDEs describing a viscoelastic medium where short memory effects are present. We solved a class of Riemann problems by integrating a suitable 2 x 2 reduced homogeneous model. The nonlinear interaction of two shock waves propagating in opposite directions are studied.
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Natale Manganaro, Riemann problems for viscoelastic media. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 28 (2017), no. 3, pp. 479–494DOI 10.4171/RLM/772