An infinite Lie group of symmetry of one-dimensional gas flow, for a class of entropy distributions

DOI10.1016/0167-2789(84)90012-5zbMath0585.76100OpenAlexW1988862277WikidataQ115363850 ScholiaQ115363850MaRDI QIDQ1070942

B. Gaffet

Publication date: 1984

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(84)90012-5

zbMATH Keywords

scale invarianceNoether's theoremcontinuous group of space-translationsentropy distribution lawfinite sub- algebrainfinite number of conservation lawsinverse-scattering methodLie group of symmetry of infinite ordermethod of linearizationone-dimensional adiabatic gas flowsoliton problem

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Applications of Lie groups to the sciences; explicit representations (22E70) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (5)

A class of 1-D gas flows soluble by the inverse scattering transform ⋮ Self-adjoint formulation of spherically symmetric hydrodynamics ⋮ An infinity of conservation laws for highly symmetric nonisentropic ideal gas flow ⋮ The classical Bäcklund transformation and integrable discretisation of characteristic equations. ⋮ Exact symmetries of unidimensional self-similar flow

Cites Work

• Bäcklund transformations and their applications
• Method for Solving the Korteweg-deVries Equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
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