Spaces of Weighted Measures for Conservation Laws with Singular Shock Solutions

  title={Spaces of Weighted Measures for Conservation Laws with Singular Shock Solutions},
  author={Herbert C. Kranzerz},
  • Herbert C. Kranzerz
  • 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 approximations… CONTINUE READING
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