Delta-shock wave type solution of hyperbolic systems of conservation laws

摘要

For two classes of hyperbolic systems of conservation laws new definitions of a delta-shock wave type solution are introduced. These two definitions give 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 to the three types of systems of conservation laws and derive the corresponding Rankine-Hugoniot conditions for delta-shocks.