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Original Articles

Variational principles and stability of stationary flows of barotropic ideal fluid

Pages 31-54 | Received 04 Nov 1982, Accepted 13 Oct 1983, Published online: 18 Aug 2006

References

  • Arnold , V. I. 1965a . “On the conditions of nonlinear stability of plane steady curvilinear flows of an ideal fluid,” . Dokl. Akad. Nauk SSSR , 162 : 975 in Russian
  • Arnold , V. I. 1965b . “Variational principle for three-dimensional steady flows of an ideal fluid,” . Prikl. Mat. & Mekh. , 29 : 846 in Russian
  • Benzi , R. , Salusti , E. and Sutera , A. 1978 . “On the stability of geophysical flows,” . Nuovo Cimento , 1C : 510
  • Dikii , L. A. 1976 . Hydrodynamic Stability and Dynamics of Atmosphere Leningrad in Russian, Gidrometeoizdat
  • Fjortoft , R. 1950 . “Application of integral theorems in deriving criteria of stability for the baroclinic circular vortex,” . Geofys. Publ. , 17
  • Grinfeld , M. A. 1978 . “Ray-method for calculation of wave-front intensity in a nonlinear elastic material,” . Prinkl. Mat. & Mekh. , 42 : 883 in Russian
  • Grinfeld , M. A. “Variational principles and stability of the stationary flows of the ideal compressible fluid,” . Eighth Meeting of European Geophysical Society . pp. 54 Uppsala, Programme and Abstracts
  • Grinfeld , M. A. 1982 . “Variational principles for stationary flows of an ideal fluid,” . Dokl. Akad. Nauk SSSR , 262 : 54 in Russian
  • Lynden-Bell , D. and Katz , J. 1981 . “Isocirculational flows and their Lagrangian and energy principles,” . Proc. R. Soc. London , A378 : 179
  • Sedenko , V. I. and Judovitch , V. I. 1978 . “Stability of steady flows of ideal incompressible fluid with free boundary,” . Prikl. Mat. & Mekh. , 42 : 1049 in Russian
  • Serrin , J. 1959 . Mathematical Principles of Classical Fluid Mechanics , Berlin-Gött.-Heidelb : Springer-Verlag . Handbuch der Physik, 8/1

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