Free Access
Issue |
ESAIM: M2AN
Volume 34, Number 4, July/August 2000
|
|
---|---|---|
Page(s) | 811 - 834 | |
DOI | https://doi.org/10.1051/m2an:2000105 | |
Published online | 15 April 2002 |
- J.-P. Brancher, J. Etay and O. Séro-Guillaume, Formage d'une lame métallique liquide. Calculs et expériences. J. Mec. Theor. Appl. 2 (1983) 977-989. [Google Scholar]
- D. Bucur and J.-P. Zolésio, Anatomy of the Shape Hessian Via Lie Brackets. Ann. Mat. Pura Appl. (IV) CLXXIII (1997) 127-143. [Google Scholar]
- M. Crouzeix, Variational approach of a magnetic shaping problem. Eur. J. Mech. B Fluids 10 (1991) 527-536. [Google Scholar]
- M. Dambrine, Hessiennes de formes et stabilité de formes critiques. Ph.D. thesis, Université de Rennes 1, France (2000). [Google Scholar]
- R. Dautray and J.L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques, Tome 2. Masson, Paris (1985). [Google Scholar]
- M. Delfour and J.-P. Zolésio, Velocity Method and Lagrangian Formulation for the Computation of the Shape Hessian. SIAM Control Optim. 29 (1991) 1414-1442. [CrossRef] [Google Scholar]
- J. Descloux, On the two dimensional magnetic shaping problem without surface tension. Report, Analysis and numerical analysis, 07.90, École Polytechnique Fédérale de Lausanne (1990). [Google Scholar]
- J. Descloux, Stability of the solutions of the bidimensional magnetic shaping problem in absence of surface tension. Eur. J. Mech. B Fluids 10 (1991) 513-526. [Google Scholar]
- J. Descloux, A stability result for the magnetic shaping problem. Z. Angew. Math. Phys. 45 (1994) 543-555. [CrossRef] [MathSciNet] [Google Scholar]
- D. Gilbarg and N.S. Trudinger, Elliptic partial differential equations of second order. Springer-Verlag, Berlin, 2nd edn (1983). [Google Scholar]
- A. Henrot and M. Pierre, Stability in shaping problems (to appear). [Google Scholar]
- A. Henrot and M. Pierre, About existence of a free boundary in electromagnetic shaping, in Recent advances in nonlinear elliptic and parabolic problems (Nancy, 1988), Longman Sci. Tech., Harlow (1989) 283-293. [Google Scholar]
- A. Henrot and M. Pierre, Un problème inverse en formage des métaux liquides. RAIRO Modél. Math. Anal. Numér. 23 (1989) 155-177. [MathSciNet] [Google Scholar]
- A. Henrot and M. Pierre, About critical points of the energy in the electromagnetic shaping problem, in Boundary Control and Boundary variations, Springer-Verlag, 178 (1991) 238-252. [Google Scholar]
- A. Henrot and M. Pierre, About existence of equilibria in electromagnetic casting. Quart. Appl. Math. 49 (1991) 563-575. [MathSciNet] [Google Scholar]
- F. Murat and J. Simon, Sur le contrôle par un domaine géométrique. Rapport du L.A. 189, Université Paris VI, France (1976). [Google Scholar]
- A. Novruzi, Contribution en Optimisation de Formes et Applications. Ph.D. thesis, Université Henri Poincaré, Nancy (1996). [Google Scholar]
- A. Novruzi and M. Pierre, Structure of Shape Derivatives. Prépublication IRMAR, n° 00-07, Rennes (2000). [Google Scholar]
- O. Séro-Guillaume and D. Bernardin, Note on a Hamiltonian formalism for the flow of a magnetic fluid with a free surface. J. Fluid Mech. 181 (1987) 381-386. [CrossRef] [Google Scholar]
- J. Simon, Differentiation with respect to the domain in boundary value problems. Numer. Funct. Anal. Optim. 2 (1980) 649-687. [CrossRef] [MathSciNet] [Google Scholar]
- J. Sokołowski and J.-P. Zolésio, Introduction to shape optimization. Springer-Verlag, Berlin (1992). [Google Scholar]
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