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Volumn 49, Issue 7, 1996, Pages 717-764

Existence of three-dimensional toroidal MHD equilibria with nonconstant pressure

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EID: 0030538187     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0312(199607)49:7<717::AID-CPA3>3.0.CO;2-C     Document Type: Article
Times cited : (65)

References (42)
  • 1
    • 0002764805 scopus 로고
    • Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian
    • Arnold, V. I., Proof of a theorem of A. N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian, Russ. Math. Surv. 18, 1963, pp. 9-36.
    • (1963) Russ. Math. Surv. , vol.18 , pp. 9-36
    • Arnold, V.I.1
  • 2
    • 0000866621 scopus 로고
    • The asymptotic Hopf invariant and its applications
    • Arnold, V. I., The asymptotic Hopf invariant and its applications, Selecta Math. Soviet. 5(4), 1986, pp. 327-345.
    • (1986) Selecta Math. Soviet. , vol.5 , Issue.4 , pp. 327-345
    • Arnold, V.I.1
  • 3
    • 0001824105 scopus 로고
    • Mather sets for twist maps and geodesics on tori
    • Teubner, Stuttgart
    • Bangert, V., Mather sets for twist maps and geodesics on tori, pp. 1-56 in: Dynamics Reported, vol. 1, Teubner, Stuttgart, 1988.
    • (1988) Dynamics Reported , vol.1 , pp. 1-56
    • Bangert, V.1
  • 5
    • 0040267408 scopus 로고
    • Existence and calculation of sharp boundary magnetohydrodynamic equilibrium in three-dimensional toroidal geometry
    • Berk, H. L., Freidberg, J. P., Llobet, X., Morrison, P. J., and Tataronis, J. A., Existence and calculation of sharp boundary magnetohydrodynamic equilibrium in three-dimensional toroidal geometry, Phys. Fluids 29, 1986, pp. 3281-3290.
    • (1986) Phys. Fluids , vol.29 , pp. 3281-3290
    • Berk, H.L.1    Freidberg, J.P.2    Llobet, X.3    Morrison, P.J.4    Tataronis, J.A.5
  • 7
    • 0013201779 scopus 로고
    • Tores invariants des systèmes dynamiques Hamiltoniens
    • Bobst, J., Tores invariants des systèmes dynamiques Hamiltoniens, Astérisque 133-134, 1986, pp. 113-157.
    • (1986) Astérisque , vol.133-134 , pp. 113-157
    • Bobst, J.1
  • 8
    • 0040861772 scopus 로고
    • On the existence of three-dimensional sharp boundary solutions of the ideal MHD equilibrium equations in a torus
    • Bruno, O., and Laurence, P., On the existence of three-dimensional sharp boundary solutions of the ideal MHD equilibrium equations in a torus, C. R. Acad. Sci. Paris Sér. I Math. 317(4), 1993, pp. 337-341.
    • (1993) C. R. Acad. Sci. Paris Sér. I Math. , vol.317 , Issue.4 , pp. 337-341
    • Bruno, O.1    Laurence, P.2
  • 9
    • 84971145280 scopus 로고
    • Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain
    • Bruno, O., and Reitich, F., Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain, Proc. Roy. Soc. Edinburgh Sect. A 122(3-4), 1992, pp. 317-340.
    • (1992) Proc. Roy. Soc. Edinburgh Sect. A , vol.122 , Issue.3-4 , pp. 317-340
    • Bruno, O.1    Reitich, F.2
  • 10
    • 29144475405 scopus 로고
    • Noncanonical hamiltonian mechanics and its application to magnetic field line flow
    • Cary, J. R., and Littlejohn, R. G., Noncanonical Hamiltonian mechanics and its application to magnetic field line flow, Ann. Physics 151, 1983, pp. 1-34.
    • (1983) Ann. Physics , vol.151 , pp. 1-34
    • Cary, J.R.1    Littlejohn, R.G.2
  • 11
    • 0000083254 scopus 로고
    • Construction of analytic KAM surfaces and effective stability bounds
    • Celletti, A., and Chierchia, L., Construction of analytic KAM surfaces and effective stability bounds, Comm. Math. Phys. 118, 1988, pp. 119-161.
    • (1988) Comm. Math. Phys. , vol.118 , pp. 119-161
    • Celletti, A.1    Chierchia, L.2
  • 12
    • 4143049868 scopus 로고
    • Ballooning mode stability of bean-shaped cross sections for high-β tokamak plasmas
    • Chance, M. S., Jardin, S. C., and Stix, T. H., Ballooning mode stability of bean-shaped cross sections for high-β tokamak plasmas, Phys. Rev. Lett. 51, 1983, pp. 1963-1966.
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 1963-1966
    • Chance, M.S.1    Jardin, S.C.2    Stix, T.H.3
  • 16
    • 84966211549 scopus 로고
    • Multiconstrained variational problems of nonlinear eigenvalue type: New formulations and algorithms
    • Eydeland, A., Spruck, J., and Turkington, B., Multiconstrained variational problems of nonlinear eigenvalue type: new formulations and algorithms, Math. Comp. 55, 1990, pp. 509-535.
    • (1990) Math. Comp. , vol.55 , pp. 509-535
    • Eydeland, A.1    Spruck, J.2    Turkington, B.3
  • 20
    • 0040267411 scopus 로고
    • Problems in magnetohydrostatic equilibria
    • C. Cercignani, S. Rionero, and M. Tessarotto, eds., Trieste University Istituto di Meccanica, Trieste
    • Grad, H., Problems in magnetohydrostatic equilibria, pp. 253-282 in: Proceedings of the Workshop on Mathematical Aspects of Fluid and Plasma Dynamics, 1984, C. Cercignani, S. Rionero, and M. Tessarotto, eds., Trieste University Istituto di Meccanica, Trieste, 1985.
    • (1985) Proceedings of the Workshop on Mathematical Aspects of Fluid and Plasma Dynamics, 1984 , pp. 253-282
    • Grad, H.1
  • 21
    • 0000461145 scopus 로고
    • Toroidal containment of a plasmo
    • Grad, H., Toroidal containment of a plasmo, Phys. Fluids 10, 1967, pp. 137-154.
    • (1967) Phys. Fluids , vol.10 , pp. 137-154
    • Grad, H.1
  • 22
    • 0000652097 scopus 로고
    • Sur les courbes invariantes pour les difféomorphismes de l'anneau
    • Herman, M., Sur les courbes invariantes pour les difféomorphismes de l'Anneau, Asterisque 103-104, 1986, pp. 3-221.
    • (1986) Asterisque , vol.103-104 , pp. 3-221
    • Herman, M.1
  • 23
    • 26344441266 scopus 로고
    • Axialsymmetrische losungen der magnetohydrostatichen gleichungen mit oberflachenstromen II
    • Jörgens, K., Axialsymmetrische losungen der magnetohydrostatichen gleichungen mit oberflachenstromen II, Z. Naturforschung 13a, 1958, pp. 493-498.
    • (1958) Z. Naturforschung , vol.13 A , pp. 493-498
    • Jörgens, K.1
  • 24
    • 0039083422 scopus 로고
    • Surface current equilibria from a geometric point of view
    • Kaiser, R., and Salat, B., Surface current equilibria from a geometric point of view, Phys. Plasmas 1, 1994, pp. 281-295.
    • (1994) Phys. Plasmas , vol.1 , pp. 281-295
    • Kaiser, R.1    Salat, B.2
  • 25
    • 0040267402 scopus 로고
    • Plasma-konfiguration mit oberflachenstromen, die von einem magnetfeld im gleichgewicht gehalten werden
    • Kippenhahn, R., Plasma-konfiguration mit oberflachenstromen, die von einem magnetfeld im gleichgewicht gehalten werden, Z. Naturforschung 13a, 1958, p. 260-267.
    • (1958) Z. Naturforschung , vol.13 A , pp. 260-267
    • Kippenhahn, R.1
  • 26
    • 0001441814 scopus 로고
    • General theory of dynamical systems and classical mechanics
    • Kolmogorov, A. N., General theory of dynamical systems and classical mechanics, pp. 315-333 in: Proceedings of the International Congiess of Mathematics, vol 1, 1957; see also Doklady Akad. Nauk. USSR 98, 1954, pp. 527-530.
    • (1957) Proceedings of the International Congiess of Mathematics , vol.1 , pp. 315-333
    • Kolmogorov, A.N.1
  • 27
    • 0001246972 scopus 로고
    • Kolmogorov, A. N., General theory of dynamical systems and classical mechanics, pp. 315-333 in: Proceedings of the International Congiess of Mathematics, vol 1, 1957; see also Doklady Akad. Nauk. USSR 98, 1954, pp. 527-530.
    • (1954) Doklady Akad. Nauk. USSR , vol.98 , pp. 527-530
  • 28
    • 20444390874 scopus 로고
    • Equilibrium of a magnetically confined plasma in a toroid
    • Kruskal, M., and Kulsrud, R., Equilibrium of a magnetically confined plasma in a toroid, Phys. Fluids 1, 1958, pp. 265-274.
    • (1958) Phys. Fluids , vol.1 , pp. 265-274
    • Kruskal, M.1    Kulsrud, R.2
  • 29
    • 0040267409 scopus 로고
    • On the convexity of geometric functionals of level for solutions of certain elliptic partial differential equations
    • Laurence, P., On the convexity of geometric functionals of level for solutions of certain elliptic partial differential equations, Z. Angew. Math. Phys. 40, 1989(2), pp. 258-284.
    • (1989) Z. Angew. Math. Phys. , vol.40 , Issue.2 , pp. 258-284
    • Laurence, P.1
  • 30
    • 84990602665 scopus 로고
    • A new approach to queer differential equations
    • Laurence, P., and Stredulinsky, E. W., A new approach to queer differential equations, Comm. Pure Appl. Math. 38, 1985, pp. 333-355.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 333-355
    • Laurence, P.1    Stredulinsky, E.W.2
  • 31
    • 0030534405 scopus 로고    scopus 로고
    • A gradient bound for the Grad-Kruskal-Kulsrud functional
    • Laurence, P., and Stredulinsky, E., A gradient bound for the Grad-Kruskal-Kulsrud functional, Comm. Pure Appl. Math. 49, 1996, pp. 237-284.
    • (1996) Comm. Pure Appl. Math. , vol.49 , pp. 237-284
    • Laurence, P.1    Stredulinsky, E.2
  • 34
    • 0022145513 scopus 로고
    • Magnetostatic equilibria of arbitrary topological complexity
    • Moffatt, H. K., Magnetostatic equilibria of arbitrary topological complexity, J. Fluid Mech. 159, 1985, pp. 359-378.
    • (1985) J. Fluid Mech. , vol.159 , pp. 359-378
    • Moffatt, H.K.1
  • 36
    • 0001851184 scopus 로고
    • On nnvariant curves of area preserving mappings of an annulus
    • Moser, J., On nnvariant curves of area preserving mappings of an annulus, Nachr. Akad. Wiss. Göttingen, Math.-Phys. Kl. IIa, 1962, pp. 1-20.
    • (1962) Nachr. Akad. Wiss. Göttingen, Math.-Phys. Kl. , vol.2 A , pp. 1-20
    • Moser, J.1
  • 37
    • 84974073874 scopus 로고
    • Monotone twist maps and the calculus of variations
    • Moser, J., Monotone twist maps and the calculus of variations, Ergodic Theory Dynam. Systems 6, 1986, pp. 401-413.
    • (1986) Ergodic Theory Dynam. Systems , vol.6 , pp. 401-413
    • Moser, J.1
  • 38
    • 0000388192 scopus 로고
    • A rapidly convergent iteration method and nonlinear differential equations
    • Moser J., A rapidly convergent iteration method and nonlinear differential equations, Ann. Scuola Norm. Sup. Pisa 401, 1966, pp. 499-535.
    • (1966) Ann. Scuola Norm. Sup. Pisa , vol.401 , pp. 499-535
    • Moser, J.1
  • 39
    • 0023011317 scopus 로고
    • Calculation of three-dimensional MHD equilibria with islands and stochastic regions
    • Reiman, A., and Greenside, A., Calculation of three-dimensional MHD equilibria with islands and stochastic regions, Comput. Phys. Comm. 43, 1986, pp. 157-167.
    • (1986) Comput. Phys. Comm. , vol.43 , pp. 157-167
    • Reiman, A.1    Greenside, A.2
  • 40
    • 0002583282 scopus 로고
    • Über invariante kurven differenzierbarer abbildungen eines kreisringes
    • Russman, H., Über invariante kurven differenzierbarer abbildungen eines kreisringes, Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. IIa, 1970, pp. 67-105.
    • (1970) Nachr. Akad. Wiss. Göttingen Math.-Phys. Kl. , vol.2 A , pp. 67-105
    • Russman, H.1


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