The shape and smoothness of stable plasma configurations

David Kinderlehrer; Joel Spruck

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1978)

  • Volume: 5, Issue: 1, page 131-148
  • ISSN: 0391-173X

How to cite

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Kinderlehrer, David, and Spruck, Joel. "The shape and smoothness of stable plasma configurations." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 5.1 (1978): 131-148. <http://eudml.org/doc/83772>.

@article{Kinderlehrer1978,
author = {Kinderlehrer, David, Spruck, Joel},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Equilibrium; Confined Plasma; Variational Problems; Free Boundary; Potential Theory},
language = {eng},
number = {1},
pages = {131-148},
publisher = {Scuola normale superiore},
title = {The shape and smoothness of stable plasma configurations},
url = {http://eudml.org/doc/83772},
volume = {5},
year = {1978},
}

TY - JOUR
AU - Kinderlehrer, David
AU - Spruck, Joel
TI - The shape and smoothness of stable plasma configurations
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1978
PB - Scuola normale superiore
VL - 5
IS - 1
SP - 131
EP - 148
LA - eng
KW - Equilibrium; Confined Plasma; Variational Problems; Free Boundary; Potential Theory
UR - http://eudml.org/doc/83772
ER -

References

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  1. [Be-Br] H. Berestycki - H. Brezis, Sur certains problèmes de frontière libre, C.R.A.S., 283 (1976), pp. 1091-1094. Zbl0342.35014MR427812
  2. [Ber-F] M. Berger - L. Fraenkel, A global theory of steady vortex rings in an ideal fluid, Acta Math., 132 (1974), pp. 13-51. Zbl0282.76014MR422916
  3. [H-W] P. Hartman - A. Wintner, On the local behavior of non-parabolic partial differential equations, Am. J. Math., 85 (1953), pp. 449-476. Zbl0052.32201MR58082
  4. [K-N-S] D. Kinderlehrer - L. Nirenberg - J. Spruck, to appear. 
  5. [L1] H. Lewy, On the reflection laws of second order differential equations in two independent variables, Bull. A.M.S., 65 (1959), pp. 37-58. Zbl0089.08001MR104048
  6. [L2] H. Lewy, On the nature of the domain governed by different regimes, Atti del convegno «Metodi valutativi nella fisica-matematica », Accad. Naz. dei Lincei (1975), pp. 181-188. 
  7. [M] C. Miranda, Partial Differential Equations of Elliptic Type, Springer-Verlag, 1970. Zbl0198.14101MR284700
  8. [N] J. Norbury, Steady plane vortex pairs in an ideal fluid, CPAM, 28 (1975), pp. 679-700. Zbl0338.76015MR399645
  9. [P] J. Puel, Un problème de valeurs propres nonlineaire et de frontière libre, C.R.A.S. Paris, 284 (1977), pp. 861-864. Zbl0362.35024
  10. [S] G. Stampacchia, Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinues, Ann. Inst. Fourier, Grenoble, 15 (1965), pp. 189-258. Zbl0151.15401MR192177
  11. [T1] R. Temam, A nonlinear eigenvalue problem: the shape at equilibrium of a confined plasma, Arch. Rat. Mech. Anal., 60 (1975), pp. 51-73. Zbl0328.35069MR412637
  12. [T2] R. Temam, Remarks on a free boundary value problem arising in plasma physics, Communications in P.D.E., 2 (1977), pp. 563-585. Zbl0355.35023MR602544

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