A systematic approach to self-similarity in Newtonian space-time

DOI10.1063/1.529103zbMath0747.58052OpenAlexW2045531114MaRDI QIDQ3987289

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Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529103

zbMATH Keywords

self-similarityNewtonian systemAbelian rescaling algebraEulerian fluid systemGalilean space time

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Invariance and symmetry properties for PDEs on manifolds (58J70) Foundations of fluid mechanics (76A02) Axiomatics, foundations (70A05) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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Cites Work

• Standard covariant formulation for perfect-fluid dynamics
• Hamiltonian structure, symmetries and conservation laws for water waves
• A NEWTONIAN EXPANDING UNIVERSE
• Self-Similar Solutions as Intermediate Asymptotics

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