Unsteady solutions of Euler equations generated by steady solutions

DOI10.1007/S10440-010-9600-8zbMath1210.22018OpenAlexW2032877408MaRDI QIDQ629872

L. Margheriti, Maria Paola Speciale

Publication date: 10 March 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-010-9600-8

zbMATH Keywords

invariant solutionsLie point symmetriesoptimal system of subalgebrasinvertible mappings between differential equations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Invariance and symmetry properties for PDEs on manifolds (58J70) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (6)

Similarity reduction and closed form solutions for a model derived from two-layer fluids ⋮ Reduction of balance laws in \((3+1)\)-dimensions to autonomous conservation laws by means of equivalence transformations ⋮ Construction of autonomous conservation laws ⋮ Approximate analysis of a nonlinear dissipative model ⋮ On the construction of conservation laws: A mixed approach ⋮ Reduction of balance laws to conservation laws by means of equivalence transformations

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