Beyond linear fields: the Lie–Taylor expansion

DOI10.1098/rspa.2016.0525zbMath1404.76293arXiv1606.08763OpenAlexW2472984727WikidataQ54901084 ScholiaQ54901084MaRDI QIDQ4646842

Wayne Arter

Publication date: 28 December 2018

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.08763

zbMATH Keywords

analytic solutionnonlinearcatastropheideal MHDresistivity

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Cites Work

• Magnetic tornadoes: Three-dimensional affine motions in ideal magnetohydrodynamics
• Dynamics of the Kirchhoff equations. I: Coincident centers of gravity and buoyancy
• Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann
• The Euler-Poincaré equations and semidirect products with applications to continuum theories
• Topological methods in hydrodynamics
• Helical mode interactions and spectral transfer processes in magnetohydrodynamic turbulence
• The motion of a fluid ellipsoid in a general linear background flow
• Unnamed Item

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