Symmetries of the gas dynamics equations using the differential form method

DOI10.1063/1.5011723zbMath1386.76140OpenAlexW2768403010MaRDI QIDQ4599494

Scott D. Ramsey, Roy S. Baty

Publication date: 2 January 2018

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

Full work available at URL: https://www.osti.gov/biblio/1418762

zbMATH Keywords

one-dimensionalinviscid

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Gas dynamics (general theory) (76N15) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Euler equations (35Q31)

Cites Work

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• A finite element exterior calculus framework for the rotating shallow-water equations
• An exterior differential system for a generalized Korteweg-de Vries equation and its associated integrability
• The differential form method for finding symmetries
• Lectures on the Theory of Group Properties of Differential Equations
• Analytic solutions of hydrodynamics equations
• Group-invariant solutions and optimal systems for multidimensional hydrodynamics
• Prolongation structures of nonlinear evolution equations
• Shock Waves & Explosions
• The Riemann problem for fluid flow of real materials
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems
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