Topological nature of the Parker magnetostatic theorem
نویسندگان
چکیده
The two-plate initial boundary-value problem of Parker is reviewed, treating the relaxation a 3D magnetic field prescribed with an arbitrary topology to terminal force-free in cold, viscous, electrically perfect fluid conductor. Anchored by their foot-points at perfectly conducting rigid plates, relaxing preserves its topology. magnetostatic theorem states that for most topologies, must embed current sheets. elements this are reviewed and analyzed relate (i) variational given (ii) direct construction terms pair Euler flux functions. New insights understanding presented on as compelling basis theory solar coronal heating.
منابع مشابه
RG Flow Irreversibility , C - Theorem and Topological Nature of 4 D N = 2 SYM
We determine the exact beta function and a RG flow Lyapunov function for N = 2 SYM with gauge group SU(n). It turns out that the classical discriminants of the Seiberg–Witten curves determine the RG potential. The radial irreversibility of the RG flow in the SU(2) case and the non–perturbative identity relating the u–modulus and the superconformal anomaly, indicate the existence of a four dimen...
متن کاملA Topological Minimax Theorem
We present a topological minimax theorem (Theorem 2.2). The topological assumptions on the spaces involved are somewhat weaker than those usually found in the literature. Even when reinterpreted in the convex setting of topological vector spaces, our theorem yields nonnegligible improvements, for example, of the Passy–Prisman theorem and consequently of the Sion theorem, contrary to most result...
متن کاملTopological Scott Convergence Theorem
Recently, J. D. Lawson encouraged the domain theory community to consider the scientific program of developing domain theory in the wider context of T0 spaces instead of restricting to posets. In this paper, we respond to this calling with an attempt to formulate a topological version of the Scott Convergence Theorem, i.e., order-theoretic characterisation of those posets for which the Scott-co...
متن کاملA topological completeness theorem
We prove a topological completeness theorem for innnitary geometric theories with respect to sheaf models. The theorem extends a classical result of Makkai and Reyes, stating that any topos with enough points has an open spatial cover. We show that one can achieve in addition that the cover is connected and locally connected.
متن کاملThe Topological Version of Fodor’s Theorem
The following purely topological generalization is given of Fodor’s theorem from [F1] (also known as the “pressing down lemma”): Let X be a locally compact, non-compact T2 space such that any two closed unbounded (c u b) subsets of X intersect [of course, a set is bounded if it has compact closure]; call S ⊂ X stationary if it meets every c u b in X. Then for every neighbourhood assignment U de...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics of Plasmas
سال: 2023
ISSN: ['1070-664X', '1527-2419', '1089-7674']
DOI: https://doi.org/10.1063/5.0124164