Nonisentropic Solutions of Simple Wave Type of the Gas Dynamics Equations

DOI10.1142/S1402925111001374zbMath1362.76047MaRDI QIDQ5737681

Sergey V. Meleshko, Vasily P. Shapeev

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

compatibility conditionsgas dynamics equationsdifferential constraintsRiemann (simple) waves

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (9)

Lie symmetries and singularity analysis for generalized shallow-water equations ⋮ Lie symmetry analysis and similarity solutions for the Jimbo-Miwa equation and generalisations ⋮ Lie symmetries and similarity solutions for a family of 1+1 fifth-order partial differential equations ⋮ Lie symmetry analysis for a 2+1 extended Boiti-Leon-Manna-Pempinelli equation ⋮ Riemann problems for the nonhomogeneous Aw-Rascle model ⋮ Generalized Riemann waves and their adjoinment through a shock wave ⋮ Solutions of generalized simple wave type of magnetic fluid ⋮ Exact solutions and conservation laws in dissipative fluid dynamics ⋮ Application of the method of differential constraints to systems of equations written in Riemann invariants

Uses Software

• REDUCE

Cites Work

• Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering
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