Lerena, M (2003). On the existence of the free-boundary for some problems arising in plasma physics. Nonlinear Analysis: Theory, Methods & Applications, 55(4):419-439.
We study some conditions for the existence of a free-boundary for two different bidimensional models arising in the magnetic confinement of a plasma. We derive estimates on the size and location of the region surrounded by the free-boundary (known as plasma region) for both models. We also derive sufficient conditions for the non-existence of the free-boundary.
We study some conditions for the existence of a free-boundary for two different bidimensional models arising in the magnetic confinement of a plasma. We derive estimates on the size and location of the region surrounded by the free-boundary (known as plasma region) for both models. We also derive sufficient conditions for the non-existence of the free-boundary.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | Free-boundary problems, Nonlocal equations, Plasma confinement, Stellarator, Relative rearrangement |
| Language: | English |
| Date: | 2003 |
| Deposited On: | 29 Nov 2010 16:26 |
| Last Modified: | 29 Jul 2020 19:41 |
| Publisher: | Elsevier |
| ISSN: | 0362-546X |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1016/S0362-546X(03)00245-1 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2007482 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1042.35088 |
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Lerena, M