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# Spaces of Weighted Measures for Conservation Laws with Singular Shock Solutions

@inproceedings{Kranzerz1995SpacesOW, title={Spaces of Weighted Measures for Conservation Laws with Singular Shock Solutions}, author={Herbert C. Kranzerz}, year={1995} }

- Published 1995

We study a model system of two strictly hyperbolic conservation laws which is genuinely nonlinear but for which the Riemann problem has no global solution. Singular solutions are deened by means of a generalized Rankine-Hugoniot relation and an overcompressive condition on the discontinuity. We show that approximate solutions which can be constructed by several standard methods converge in a weighted measure space and that the error in the approximation converges to zero. Viscous approximationsâ€¦Â CONTINUE READING

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