### 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.

Paper:
Available as PDF (63 Kbytes), Postscript (112 Kbytes) or gzipped PostScript (42 Kbytes; uncompress using gunzip).
Author(s):
A. Yu. Khrennikov, <shelkv@vs1567.spb.ed>
V. M. Shelkovich, <Andrei.Khrennikov@msi.vxu.se>
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<shelkv@vs1567.spb.ed> December 19 2005.

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