On the numerical solution of a capillary free boundary problem governed by the Navies-Stokes equations

  • C. Cuvelier
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 141)


Free Boundary Free Boundary Problem Optimal Control Theory Augmented Lagrangian Method Hydrodynamic Lubrication 
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  1. C. CUVELIER [1]. A free boundary problem in hydrodynamic lubrication governed by the Stokes eq.s. Proc. 9th IFIP Conference, 1979, Warsaw p. 375–384.[2].Capillary free boundary problems governed by the Navier-Stokes eq.s. (to appear).Google Scholar
  2. V. GIRAULT, P.A. RAVIART [1] Finite element approximation of the Navier-Stokes eq.s. Lecture Notes in Mathematics 749, 1979.Google Scholar
  3. J.L. LIONS [1]. Sur le contrôle optimal des systèmes gouvernés par les equations aux dérivées partielles. Paris-Dunod, 1968.Google Scholar
  4. O. PIRONNEAU [1]. Sur les problèmes d'optimisation de structure en mécanique des fluides. Thèse de doctorat. Paris VI. 1976.Google Scholar
  5. V.A. SOLONNIKOV [1]. Solvability of the boundary value problem describing the motion of a viscous incompressible capillary fluid in an open vessel in the two dimensional case. Izvestia AN SSR, 1979. 43'p. 203-236 (in Russian).Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • C. Cuvelier
    • 1
  1. 1.Mathematics DepartmentUniversity of DelftDelftThe Netherlands

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