Group analysis of the generalized Burnett equations

DOI10.1080/14029251.2020.1757238zbMath1436.35019OpenAlexW3023113718MaRDI QIDQ5113692

Alexander V. Bobylev, Sergey V. Meleshko

Publication date: 16 June 2020

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2020.1757238

zbMATH Keywords

conservation lawLie groupinvariant solutionsgroup classificationgeneralized Burnett equations

Mathematics Subject Classification ID

Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (2)

The exact solutions of the equation describing antiplane plastic flow ⋮ On group symmetries of the hydrodynamic equations for rarefied gas

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Instabilities in the Chapman-Enskog expansion and hyperbolic Burnett equations
• Group classification of two-dimensional stable viscous gas equations
• A new conservation theorem
• Generalized Burnett hydrodynamics
• Applications of symmetry methods to partial differential equations
• Self-similar solution of the Navier-Stokes equations governing gas flows in rotary logarithmically spiral two-dimensional channels
• Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering
• Group classification of two-dimensional steady viscous gas dynamics equations with arbitrary state equations
• Boltzmann equation and hydrodynamics beyond Navier–Stokes
• Shock wave structure for generalized Burnett equations
• Variational principles in continuum mechanics
• A class of exact solutions of the navier-stokes equations for a compressible heat-conducting gas
• Regularization of the Burnett equations via relaxation

This page was built for publication: Group analysis of the generalized Burnett equations