### 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.

Paper:
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Author(s):
V.G. Danilov, <danilov@miem.edu.ru>
V.M. Shelkovich, <shelkv@svm.abu.spb.ru>
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