Published July 1996
| public
Journal Article
Existence of three-dimensional toroidal MHD equilibria with nonconstant pressure
- Creators
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Bruno, Oscar P.
- Laurence, Peter
Chicago
An error occurred while generating the citation.
Abstract
We establish an existence result for the three‐dimensional MHD equations (∇ x B) x B = ∇p, ∇·B = 0, B·n|∂T = 0 with p ≠ const in tori T without symmetry. More precisely, our theorems insure the existence of sharp boundary solutions for tori whose departure from axisymmetry is sufficiently small; they allow for solutions to be constructed with an arbitrary number of pressure jumps.
Additional Information
© 1996 John Wiley & Sons, Inc. Received June 1995. We thank the anonymous reviewer for a number of useful suggestions. OB gratefully acknowledges stimulating conversations with P. Garabedian on nonaxisymmetric plasma equilibria; he also wishes to acknowledge support from NSF (through an NYI award and Grants Nos. DMS-9200002 and DMS-9523292), from the Sloan Foundation (through the fellowship program), from the Powell Research Foundation, and from the AFOSR (contract no. F49620-96-1-0008). PL thanks Luigi Chierchia and Rafael de la Llave for valuable discussions concerning KAM theory.Additional details
- Eprint ID
- 90682
- Resolver ID
- CaltechAUTHORS:20181106-153720174
- NSF
- DMS-9200002
- NSF
- DMS-9523292
- Alfred P. Sloan Foundation
- Charles Lee Powell Foundation
- Air Force Office of Scientific Research (AFOSR)
- F49620-96-1-0008
- Created
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2018-11-07Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field