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Mathematical foundation of the stokes problem

Part of the Lecture Notes in Mathematics book series (LNM,volume 749)

Keywords

  • Bilinear Form
  • Stream Function
  • Closed Subspace
  • Range Space
  • Lipschitz Continuous Boundary

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References

  1. R.A. Adams, Sobolev Spaces. Academic Press, New York (1975).

    MATH  Google Scholar 

  2. J. Nečas, Les Méthodes Directes en Théorie des Equations Elliptiques. Masson, Paris (1967).

    Google Scholar 

  3. J.L. Lions, E. Magenes, Nonhomogeneous Boundary Value Problems and Applications Springer-Verlag, Berlin (1972).

    Google Scholar 

  4. G. Duvaut, J.L. Lions, Les Inéquations en Mécanique et en Physique. Dunod, Paris (1971).

    Google Scholar 

  5. R. Teman, Navier-Stokes Equations. North-Holland, Amsterdam (1977).

    Google Scholar 

  6. O.A. Ladyzhenskaya The Mathematical Theory of Viscous Incompressible Flow. Gordon and Breach, New York (1969).

    MATH  Google Scholar 

  7. F. Brezzi, On the existence, uniqueness and approximation of saddle point problems arising from Lagrangian multipliers. RAIRO Numer. Anal. 8-R2 (1974), pp. 129–151.

    MathSciNet  Google Scholar 

  8. M. Bercovier, Perturbation of mixed variational problems. Application to mixed finite element methods. RAIRO Numer. Anal. 12 no 3 (1978), pp. 211–236.

    MATH  MathSciNet  Google Scholar 

  9. M. Bercovier, Thesis, Rouen (1976).

    Google Scholar 

  10. K. Arrow, L. Hurwicz, H. Uzawa, Studies in Nonlinear Programming. Stanford University Press (1968).

    Google Scholar 

  11. V.A. Kondrat'ev, Boundary problems for elliptic equations in domains with conical or angular points. Trans. Moscow Math. Soc. (1967), pp. 227–313.

    Google Scholar 

  12. P. Grisvard, Singularité des solutions du problème de Stokes dans un polygone. Séminaires d'Analyse Numérique, Paris (1978).

    Google Scholar 

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© 1981 Springer-Verlag

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(1981). Mathematical foundation of the stokes problem. In: Finite Element Approximation of the Navier-Stokes Equations. Lecture Notes in Mathematics, vol 749. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063448

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  • DOI: https://doi.org/10.1007/BFb0063448

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09557-6

  • Online ISBN: 978-3-540-34856-6

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