Preprint 2005-055

On the Algebraic Aspect of Singular Solutions to Conservation Laws Systems

A. Yu. Khrennikov and V. M. Shelkovich

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.

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A. Yu. Khrennikov, <shelkv@vs1567.spb.ed>
V. M. Shelkovich, <>
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<shelkv@vs1567.spb.ed> December 19 2005.

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