Dynamics of propagation and interaction of δ-shock waves in conservation law systems

Abstract We introduce a new definition of a δ -shock wave type solution for a class of systems of conservation laws in the one-dimensional case. The weak asymptotics method developed by the authors is used to construct formulas describing the propagation and interaction of δ -shock waves. The dynamics of merging two δ -shocks is described by explicit formulas continuously in time.

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