Abstract:For some classes of hyperbolic systems of conservation laws we introduce anew definition of a $\delta$-shock wave type solution. This definition gives natural generalizations of the classical definition of the weak solutions. It isrelevantto the notion of $\delta$-shocks. Theweak asymptotics methoddeveloped by the authors is used to describe the propagation of $\delta$-shock waves.

**Paper:**- Available as PDF (272 Kbytes) or gzipped PostScript (208 Kbytes; uncompress using gunzip).
**Author(s):**- V.G. Danilov, <danilov@miem.edu.ru>
- V.M. Shelkovich, <shelkv@svm.abu.spb.ru>
**Publishing information:****Comments:**- Revised version submitted on December 2 2003.
**Submitted by:**- <shelkv@svm.abu.spb.ru> August 20 2003.

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