Symmetry groups of the equations with nonlocal structure and an application for the collisionless Boltzmann equation

DOI10.1016/j.ijengsci.2004.09.002zbMath1211.35014OpenAlexW2061429714MaRDI QIDQ534163

Seyidali S. Akhiev, Teoman Özer

Publication date: 17 May 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2004.09.002

zbMATH Keywords

symmetry groupscollisionless Boltzmann equationequations with nonlocal structure

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Nonlinear first-order PDEs (35F20) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

The Lie algebra of point symmetries of nonlocal collisionless Boltzmann equation in terms of moments, Group properties and conservation laws for nonlocal shallow water wave equation, Lie symmetry analysis of two dimensional weakly singular integral equations, The group-theoretical analysis of nonlocal Benney equation, An application of symmetry groups to nonlocal continuum mechanics, Analytical Lie group approach for solving fractional integro-differential equations, Invariant solutions of integro-differential vlasov-Maxwell equations in Lagrangian variables by Lie group analysis, The Group-Theoretical Analysis of Nonlinear Optimal Control Problems with Hamiltonian Formalism

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