Asymptotic behaviour in planar vortex theory

Antonio Ambrosetti; Jian Fu Yang

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1990)

  • Volume: 1, Issue: 4, page 285-291
  • ISSN: 1120-6330

Abstract

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The asymptotic behaviour of solutions of a class of free-boundary problems arising in vortex theory is discussed.

How to cite

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Ambrosetti, Antonio, and Yang, Jian Fu. "Asymptotic behaviour in planar vortex theory." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 1.4 (1990): 285-291. <http://eudml.org/doc/244323>.

@article{Ambrosetti1990,
abstract = {The asymptotic behaviour of solutions of a class of free-boundary problems arising in vortex theory is discussed.},
author = {Ambrosetti, Antonio, Yang, Jian Fu},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Free boundary problems; Vortex theory; Nonlinear desingularization; asymptotic behaviour of solutions; free-boundary problems; vortex theory},
language = {eng},
month = {12},
number = {4},
pages = {285-291},
publisher = {Accademia Nazionale dei Lincei},
title = {Asymptotic behaviour in planar vortex theory},
url = {http://eudml.org/doc/244323},
volume = {1},
year = {1990},
}

TY - JOUR
AU - Ambrosetti, Antonio
AU - Yang, Jian Fu
TI - Asymptotic behaviour in planar vortex theory
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1990/12//
PB - Accademia Nazionale dei Lincei
VL - 1
IS - 4
SP - 285
EP - 291
AB - The asymptotic behaviour of solutions of a class of free-boundary problems arising in vortex theory is discussed.
LA - eng
KW - Free boundary problems; Vortex theory; Nonlinear desingularization; asymptotic behaviour of solutions; free-boundary problems; vortex theory
UR - http://eudml.org/doc/244323
ER -

References

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  1. AMBROSETTI, A. - MANCINI, G., On some free boundary problems. In: H. BERESTYCKI and H. BREZIS (eds.), Recent contributions to nonlinear partial differential equations. Pitman, 1981. Zbl0477.35084MR639743
  2. AMBROSETTI, A. - STRUWE, M., Existence of steady vortex rings in an ideal fluid. Arch. Rat. Mech. and Anal., 108-2, 1989, 97-109. Zbl0694.76012MR1011553DOI10.1007/BF01053458
  3. AMICK, C. J. - TURNER, R. E. L., A global branch of steady vortex rings. J. Rein. Angew. Math., 384, 1988, 1-23. Zbl0628.76032MR929976
  4. BERGER, M. S. - FRAENKEL, L. E., Nonlinear desingularization in certain free-boundary problems. Comm. Math. Phys., 77, 1980, 149-172. Zbl0454.35087MR589430
  5. CAFFARELLI, L. A. - FRIEDMAN, A., Asymptotic estimates for the Plasma Problem. Duke Math. Journal., 47-3, 1980, 705-742. Zbl0466.35033MR587175
  6. FRAENKEL, L. E. - BERGER, M. S., A global theory of steady vortex rings in an ideal fluid. Acta Math., 132, 1974, 13-51. Zbl0282.76014MR422916
  7. HILL, M. J. M., On a spherical vortex. Phil. Trans. Roy. Soc. London, 185, 1894, 213-245. JFM25.1471.01
  8. NI, W. M., On the existence of global vortex rings. J. d'Analyse Math., 37, 1980, 208-247. Zbl0457.76020MR583638DOI10.1007/BF02797686
  9. NORBURY, J., Steady planar vortex pairs in an ideal fluid. Comm. Pure Appl. Math., 28, 1975, 679-700. Zbl0338.76015MR399645

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