Preprint 2003-052

Delta-shock Wave Type Solution of Hyperbolic Systems of Conservation Laws

V. G. Danilov and V. M. Shelkovich

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

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V.G. Danilov, <>
V.M. Shelkovich, <>
Publishing information:
Revised version submitted on December 2 2003.
Submitted by:
<> August 20 2003.

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