Lie group geometry. Invariant metrics and dynamical systems, dual algebra, and their applications in the group analysis of a one-dimensional kinetic equation

DOI10.1134/S0040577923100082zbMath1530.70016MaRDI QIDQ6195163

A. V. Borovskikh

Publication date: 16 February 2024

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

group analysisFrenet formulasdual algebragroup geometryone-dimensional kinetic equation

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws in mechanics of particles and systems (70S10) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• Group analysis of the one-dimensional Boltzmann equation. III: Condition for the moment quantities to be physically meaningful
• Group analysis of the one-dimensional Boltzmann equation. Invariants and the problem of moment system closure
• Unnamed Item

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