Problems in Magnetostatic Equilibrium
Problems in Magnetostatic Equilibrium
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In our eReader you can find the full English version of the book. Read Problems in Magnetostatic Equilibrium Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Problems in Magnetostatic Equilibrium
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To find a weak solution, it is first necessary to specify data such as p(^) in situations where the variable f is not well-defined. We may consider, in accordance with the theories of Arnold [u] and Moser [1^, that there is a family of surfaces, tp = const. , of positive 6 measure, together with gaps (ergodlc, islands, etc. ) surrounding regions of rational rotation number, a. We can require that p be constant in each gap. It Is also plausible that a is constant throughout each gap (it is, of c...ourse, constant in any Island). A smooth function p(a) might therefore be specified as a constraint which could be well-defined even for weak solutions. Such an analysis has not yet been done.
The second problem mentioned above is the interpreta- tion of formal calculations, usually expansions, which present ostensibly valid equilibria, complete with flux surfaces. In some cases the pathology is hidden in a higher order of expansion (e. G. If a gap has thickness e ). In other cases, the pathology appears to be transcendental and is not seen to any order.
What to read after Problems in Magnetostatic Equilibrium?
You can find similar books in the "Read Also" column, or choose other free books by Harold Grad to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
To find a weak solution, it is first necessary to specify data such as p(^) in situations where the variable f is not well-defined. We may consider, in accordance with the theories of Arnold [u] and Moser [1^, that there is a family of surfaces, tp = const. , of positive 6 measure, together with gaps (ergodlc, islands, etc. ) surrounding regions of rational rotation number, a. We can require that p be constant in each gap. It Is also plausible that a is constant throughout each gap (it is, of c...ourse, constant in any Island). A smooth function p(a) might therefore be specified as a constraint which could be well-defined even for weak solutions. Such an analysis has not yet been done.
The second problem mentioned above is the interpreta- tion of formal calculations, usually expansions, which present ostensibly valid equilibria, complete with flux surfaces. In some cases the pathology is hidden in a higher order of expansion (e. G. If a gap has thickness e ). In other cases, the pathology appears to be transcendental and is not seen to any order.
What to read after Problems in Magnetostatic Equilibrium?
You can find similar books in the "Read Also" column, or choose other free books by Harold Grad to read onlineMoreLess
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