# Plane one-dimensional MHD flows: Symmetries and conservation laws

@article{Dorodnitsyn2021PlaneOM, title={Plane one-dimensional MHD flows: Symmetries and conservation laws}, author={V. A. Dorodnitsyn and E. I. Kaptsov and Roman Kozlov and Sergey V. Meleshko and Potcharapol Mukdasanit}, journal={International Journal of Non-Linear Mechanics}, year={2021} }

The paper considers the plane one-dimensional flows for magnetohydrodynamics in the mass Lagrangian coordinates. The inviscid, thermally non-conducting medium is modeled by a polytropic gas. The equations are examined for symmetries and conservation laws. For the case of the finite electric conductivity we establish Lie group classification, i.e. we describe all cases of the conductivity σ(ρ, p) for which there are symmetry extensions. The conservation laws are derived by the direct computation…

## One Citation

Invariant finite-difference schemes with conservation laws preservation for one-dimensional MHD equations

- Computer Science, MathematicsArXiv
- 2021

Invariant finite-difference schemes are considered for one-dimensional magnetohydrodynamics equations in mass Lagrangian coordinates for the cases of finite and infinite conductivity and new schemes are constructed for the case of finite conductivity.

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