Group classification of the two‐dimensional magnetogasdynamics equations in Lagrangian coordinates

DOI10.1002/mma.9383arXiv2212.03111MaRDI QIDQ6143217

Sergey V. Meleshko, Unnamed Author, S. Moyo, Gary M. Webb

Publication date: 23 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.03111

zbMATH Keywords

magnetohydrodynamicsLagrangian coordinatesLie point symmetries

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (1)

One class of MHD equations: Conservation laws and exact solutions

Cites Work

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• Natural curvilinear coordinates for ideal MHD equations. Non-stationary flows with constant total pressure
• Magnetohydrodynamics and fluid dynamics: action principles and conservation laws
• Exact solutions of stationary equations of ideal magnetohydrodynamics in the natural coordinate system
• Some exact solutions of the ideal MHD equations through symmetry reduction method
• Exact solutions to the ideal magneto-gas-dynamics equations through Lie group analysis and substitution principles
• Symmetries and differential equations

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