Abstract
Hyperbolic conservation laws are used to model many interesting phenomena such as gasdynamics, traffic flow, magneto-hydrodynamics etcetera. In general discontinuities will develop in the solution even when the initial data is smooth. In many cases dissipative effects have been neglected in the modelling. However, in most numerical computations of discontinous solutions numerical dissipation is present. One hopes that the solution will mainly be effected in the vicinity of the discontinuitites.
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Kupiainen, M., Kreiss, G. (2003). Effects of Viscosity on a Shock Wave Solution of the Euler Equations. In: Hou, T.Y., Tadmor, E. (eds) Hyperbolic Problems: Theory, Numerics, Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55711-8_61
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DOI: https://doi.org/10.1007/978-3-642-55711-8_61
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