
Using a generalized plane wave solution the author studies a type of generalized plane delta-shock wave for the \(n\)-dimensional zero pressure gas dynamics and refines its generalized Rankin-Hugoniost relation which is a system of ordinary equations. This relation describes accurately the character of the generalized plane delta-shock: location, propagation speed and weight.
generalized Rankine–Hugoniot relation, Applied Mathematics, vacuum, generalized plane delta-shock, Gas dynamics (general theory), generalized Rankin-Hugoniost relation, entropy condition, n-dimensional zero-pressure gas dynamics, Analysis, Shocks and singularities for hyperbolic equations
generalized Rankine–Hugoniot relation, Applied Mathematics, vacuum, generalized plane delta-shock, Gas dynamics (general theory), generalized Rankin-Hugoniost relation, entropy condition, n-dimensional zero-pressure gas dynamics, Analysis, Shocks and singularities for hyperbolic equations
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