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The hodograph method in fluid-dynamics in the light of variational inequalities

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Part of the Lecture Notes in Mathematics book series (LNM,volume 503)

Keywords

  • Variational Inequality
  • Stream Function
  • Conformal Mapping
  • Incompressible Fluid
  • Subsonic Flow

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References

  1. C. BAIOCCHI, Su un problema di frontiera libera connesso a questioni di idraulica. Annali di Mat. Pura ed Applic. 92 (1972), p. 107–127.

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  2. L. BERS, Mathematical aspects of subsonic and transonic gas dynamics, Chapman and Hall, London 1958.

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  3. H. BREZIS—G. DUVAUT, Ecoulements avec sillages autour d’un profil symétrique sans incidence, C.R. Acad. Sci. Paris, 276 (1973), p. 875–878.

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  4. H. BREZIS—G. STAMPACCHIA, Une nouvelle méthode pour l’étude d’écoulements stationnaires, C.R. Acad. Sci. Paris, 276 (1973), p. 129–132.

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  5. R. COURANT—K.O. FRIEDRICHS, Supersonic flow and shock waves, Interscience, New York (1948).

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  6. C. FERRARI—F. TRICOMI, Aerodinamica transonica, Cremonese Roma (1962) (English translation: Transonic aerodynamics, Acad. Press, New-York (1968)).

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  7. E. HILLE, Analytic function theory, Boston, Ginn (1962).

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  8. J. L. LIONS—G. STAMPACCHIA, Variational inequalities, Comm. Pure Appl. Math. 20 (1967) p. 493–519.

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© 1976 Springer-Verlag

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Brezis, H., Stampacchia, G. (1976). The hodograph method in fluid-dynamics in the light of variational inequalities. In: Germain, P., Nayroles, B. (eds) Applications of Methods of Functional Analysis to Problems in Mechanics. Lecture Notes in Mathematics, vol 503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088760

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  • DOI: https://doi.org/10.1007/BFb0088760

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07629-2

  • Online ISBN: 978-3-540-38165-5

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