Delta Shock Waves for a Linearly Degenerate Hyperbolic System of Conservation Laws of Keyfitz-Kranzer Type
نویسندگان
چکیده
This paper is devoted to the study of delta shockwaves for a hyperbolic systemof conservation laws of Keyfitz-Kranzer typewith two linearly degenerate characteristics.TheRiemannproblem is solved constructively.TheRiemann solutions include exactly two kinds. One consists of two (or just one) contact discontinuities, while the other contains a delta shock wave. Under suitable generalized Rankine-Hugoniot relation and entropy condition, the existence and uniqueness of delta shock solution are established. These analytical results match well the numerical ones. Finally, two kinds of interactions of elementary waves are discussed.
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