2023•Studies in Applied MathematicsOpen access

Riemann problems for generalized gas dynamics

Akshay Kumar, R. Radha

Abstract

Abstract In this paper, a few classes of exact solutions are obtained using the differential constraints method for generalized gas dynamics equations. The solutions to Riemann problems for two different kinds of initial data are determined with a complete characterization of the solutions through shock waves and/or rarefaction waves.

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Key concepts: Riemann problem, Gas dynamics, Rarefaction (ecology), Riemann hypothesis, Shock wave, Mathematics, Dynamics (music), Mathematical analysis