Abstract: The algebraic aspect of singular solutions ($\delta$-shocks) to systems of conservation laws is studied. Namely, we show that singular solution of the Cauchy problem generates algebraic relations between distributional components of a singular solution (``right'' singular superpositions of distributions). These ``right'' singular superpositions of distributions are constructed.
Conservation Laws Preprint Server <conservation@math.ntnu.no> Last modified: Fri Nov 18 09:57:31 MET 2005