Extra Invariant in Magnetohydrodynamics of Planets and Stars

Alexander M. Balk

Extra Invariant in Magnetohydrodynamics of Planets and Stars

Earth and Planetary Astrophysics 2026-07-08 v1 Mathematical Physics Fluid Dynamics Geophysics

Authors: Alexander M. Balk

Abstract

The paper establishes extra invariant in magnetohydrodynamics (MHD) of rotating and stratified fluid layer. This invariant is conserved adiabatically, i.e. approximately over long time. The existence of the invariant is interesting by itself, as such invariants are extremely rare. However, in addition, this invariant appears to be connected to the famous dynamo phenomenon.

Keywords

magnetohydrodynamics invariant rotating stratified fluid dynamo adiabatic conservation

Cite

@article{arxiv.2607.07654,
  title  = {Extra Invariant in Magnetohydrodynamics of Planets and Stars},
  author = {Alexander M. Balk},
  journal= {arXiv preprint arXiv:2607.07654},
  year   = {2026}
}

Comments

5 pages, 1 figure