Self-adjoint formulation of spherically symmetric hydrodynamics

DOI10.1016/0167-2789(86)90054-0zbMath0623.76074OpenAlexW1985527850MaRDI QIDQ1091890

B. Gaffet

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-2789(86)90054-0

zbMATH Keywords

conservation lawsEuler equationsBäcklund transformationaxisymmetric swirling flowone-dimensional gasdynamicsself-dual formulationspherical symmetry self-similar solutionspherically symmetric compressible flow

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An infinite Lie group of symmetry of one-dimensional gas flow, for a class of entropy distributions
• Two hidden symmetries of the equations of ideal gasdynamics, and the general solution in a case of non-uniform entropy distribution
• Mechanics of the affine star model
• SU(3) symmetry of the equations of unidimensional gas flow, with arbitrary entropy distribution

This page was built for publication: Self-adjoint formulation of spherically symmetric hydrodynamics