Mathematical treatment of the magnetic confinement in a current carrying stellarator
| dc.contributor.author | Díaz Díaz, Jesús Ildefonso | |
| dc.contributor.author | Padial Molina, Juan Francisco | |
| dc.contributor.author | Rakotoson, Jean Michel Theresien | |
| dc.date.accessioned | 2023-06-20T16:54:11Z | |
| dc.date.available | 2023-06-20T16:54:11Z | |
| dc.date.issued | 1998 | |
| dc.description.abstract | The model studied concerns the case of a stellarator machine and the magnetic confinement is modeled by using averaging methods and suitable vacuum coordinates. This is shown to lead to a two-dimensional Grad-Shafranov type problem for the averaged poloidal flux function. Various problems are considered and it is pointed out that corresponding problems for models based on tokamak machines are essentially similar. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | CIEMAT=EURATOM association. | |
| dc.description.sponsorship | DGICYT (Spain) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15678 | |
| dc.identifier.doi | 10.1016/S0362-546X(97)00563-4 | |
| dc.identifier.issn | 0362-546X | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0362546X97005634 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57380 | |
| dc.issue.number | 6 | |
| dc.journal.title | Nonlinear analysis : theory, methods and applications | |
| dc.language.iso | spa | |
| dc.page.final | 887 | |
| dc.page.initial | 857 | |
| dc.publisher | Pergamon-Elsevier Science | |
| dc.relation.projectID | 72=93 | |
| dc.relation.projectID | PB 93=0483 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 517.51 | |
| dc.subject.keyword | free-boundary problem | |
| dc.subject.keyword | relative rearrangement | |
| dc.subject.keyword | plasma physics | |
| dc.subject.keyword | equilibrium | |
| dc.subject.keyword | inverse nonlinear elliptic problem | |
| dc.subject.keyword | Galerkin methods | |
| dc.subject.keyword | free boundary problem | |
| dc.subject.ucm | Análisis numérico | |
| dc.subject.unesco | 1206 Análisis Numérico | |
| dc.title | Mathematical treatment of the magnetic confinement in a current carrying stellarator | |
| dc.type | journal article | |
| dc.volume.number | 34 | |
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Annali della Scuola Norm. Sup. di Pisa, Série IV,, 4 (1967), pp. 697–718 J.F. Padial, J.M. Rakotoson, L. Tello, Introduction to monotone and relative rearrangements and applications, Département de Mathématiques. Univ. de Poitiers, Report No. 81, 1993, 36pp. J.M. Rakotoson. Differentiability of the relative rearrangement. Diff. and Int. Equation, 2 (1989), pp. 363–377 J.M. Rakotoson, R. Temam. A co-area formula with applications to monotone rearrangement and to regularity. Arch. Rational Mech. Anal., 109 (3) (1990), pp. 231–238 F.J. Almagren, E. Lieb, Symmetric decreasing rearrangement is sometimes continuous, J. Am. Math. Soc. 2 (4) (1989). J.M. Rakotoson. Relative rearrangement for highly nonlinear equations. Nonlinear Analysis, 24 (4) (1995), pp. 493–507 J. Mossino, J.M. Rakotoson, Isoperimetric inequalities in parabolic equations, Annali della Scuola Normale Superiore di Pisa, Série IV, XIII (1) (1986) 51–73. B. Simon, Réarrangement relatif sur un espace mesuré et applications, Thèse, Univ. de Poitiers, April 1994. J.M. Rakotoson. Some properties of the relative rearrangement. J. Math. Anal. Appl., 135 (1988), pp. 475–495 J.M. Rakotoson. Strong continuity of the relative rearrangement maps and application to a Galerkin approach for nonlocal problems. Applied Math. Letters, 8 (6) (1995), pp. 61–63 J.M. Rakotoson, Galerkin approximation, strong continuity of the relative rearrangement maps and application to plasma physics equations, to appear. J.L. Lions. Quelques méthodes de résolution des problèmes aux limites non linéairesDunod Gauthier-Villars, Paris (1969) C. Mercier, The M.H.D. approach to the problem of plasma confinement in closed magnetic configurations, Lecture in Plasma Physics. Commision of the European Community Publishers, Luxembourg, 1974. J.P. Boujot, J.P. Morera, R. Temam, An optimal control problem related to the equilibrium of a plasma in a cavity, Applied Mathematics and Optimization 2 (2) (1975). H. Grad. Mathematical problems arising in plasma physics. Proc. Intern. Congr. Math. Nice, 3 (1970), pp. 105–113 H. Grad, P. Hu, D.C. Stevens. Adiabatic evolution of plasma equilibrium. Proc. Nat. Acad. Sci., 72 (1975), pp. 3789–3793 J. Blum, T. Gallouet, J. Simon, Existence and control of plasma equilibrium in a Tokamak, SIAM. J. Math. Anal. 17 (1986). A. Damlamian, Application de la dualité non convexe d’un probléme non linéaire a frontière libre (équilibre d’un plasma confiné), C.R. Acad. Sciences Paris, 286 Serie I (1978) 153–155. J. Puel. Sur un problème de valeur prope non lineaire et de frontière libre. C.R. Acad. Sciences Paris,, 284 (1977), pp. 861–863 D. Schaeffer. Nonuniqueness in the equilibrium shape of a confined plasma, Qualitative properties of the plasma. Com. Part. Diff. Eq., 2 (1977), pp. 587–600 C. Bandle, M. Marcus. A priori estimates and the boundary values of pollutions for a problem arising in plasmas physics. Nonlinear Analysis, 7 (1983), pp. 439–451 L. Cafarelli, A. Friedman. Asymptotic estimates for the plasma problem. Duke Math. J., 47 (3) (1980), pp. 705–742 D. Kinderlehrer, J. Spruck. The shape and smoothness of stable plasma configurations. Ann. Scu. Norm. Sup. Pisa, 1 (1978), pp. 131–148 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 | |
| relation.isAuthorOfPublication.latestForDiscovery | 34ef57af-1f9d-4cf3-85a8-6a4171b23557 |
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