THE BOLTZMANN EQUATION AND THE GROUP TRANSFORMATIONS
From MaRDI portal
Publication:3142733
DOI10.1142/S0218202593000230zbMath0782.35078OpenAlexW2028403323MaRDI QIDQ3142733
Publication date: 20 December 1993
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202593000230
Lie-Bäcklund groupsGalileo groupgroup properties of the nonlinear Boltzmann equationLie group of invariant transformations
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Invariance and symmetry properties for PDEs on manifolds (58J70) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
Related Items
On symmetry group properties and general similarity forms of the Benney equations in the Lagrangian variables ⋮ On group invariant solutions of the Boltzmann equation ⋮ Symmetries and invariant solutions of the one-dimensional Boltzmann equation for inelastic collisions ⋮ Group analysis of the one-dimensional Boltzmann equation. I: Symmetry groups ⋮ The Lie algebra of point symmetries of nonlocal collisionless Boltzmann equation in terms of moments ⋮ Symmetry groups of the equations with nonlocal structure and an application for the collisionless Boltzmann equation ⋮ Symmetry group classification for two-dimensional elastodynamics problems in nonlocal elasticity ⋮ Invariant solutions of integro-differential vlasov-Maxwell equations in Lagrangian variables by Lie group analysis ⋮ Characterization of collision kernels
