24 citations · 58 across the 4 of their papers we have counts for
4 papers
One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: symmetry classification, conservation laws, difference schemes
Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko
Lie point symmetries of the one-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates are considered. Complete Lie group classification of these equation…
Analysis of the One-dimensional Euler-Lagrange equation of continuum mechanics with a Lagrangian of a special form
E. I. Kaptsov, S. V. Meleshko
Flows of one-dimensional continuum in Lagrangian coordinates are studied in the paper. Equations describing these flows are reduced to a single Euler-Lagrange equation which contai…
Conservation Laws of the Two-Dimensional Gas Dynamics Equations
E. I. Kaptsov, S. V. Meleshko
Two-dimensional gas dynamics equations in mass Lagrangian coordinates are studied in this paper. The equations describing these flows are reduced to two Euler-Lagrange equations. U…
Group analysis of the Fourier transform of the spatially homogeneous and isotropic Boltzmann equation with a source term
A. Suriyawichitseranee, Yu. N. Grigoriev, S. V. Meleshko
The paper is devoted to group analysis of the spatially homogeneous and isotropic Boltzmann equation with a source term. In fact, the Fourier transform of the Boltzmann equation wi…