Nested invariant tori foliating a vector field and its curl: Toward MHD equilibria and steady Euler flows in toroidal domains without continuous Euclidean isometries
Author:
Affiliation:
1. Graduate School of Frontier Sciences, The University of Tokyo 1 , Kashiwa, Chiba 277-8561, Japan
2. Research Institute for Mathematical Sciences, Kyoto University 2 , Kyoto 606-8502, Japan
Abstract
Funder
Japan Society for the Promotion of Science
Publisher
AIP Publishing
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0151955/18082855/081505_1_5.0151955.pdf
Reference39 articles.
1. Equilibrium of a magnetically confined plasma in a toroid;J. Nucl. Energy,1958
2. Magnetostatic equilibria and analogous Euler flows of arbitrarily complex topology. Part 1. Fundamentals;J. Fluid Mech.,1985
3. Global magnetofluidostatic fields (an unsolved PDE problem);Int. J. Math. Math. Sci.,1986
4. Structurally-unstable electrostatic potentials in plasmas;Prog. Theor. Phys.,1990
5. Existence of three-dimensional toroidal MHD equilibria with nonconstant pressure;Commun. Pure Appl. Math.,1996
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