Free Access
Issue
ESAIM: COCV
Volume 16, Number 1, January-March 2010
Page(s) 206 - 220
DOI https://doi.org/10.1051/cocv:2008070
Published online 19 December 2008
  1. F. Brock, V. Ferone and B. Kawohl, A symmetry problem in the calculus of variations. Calc. Var. 4 (1996) 593–599. [CrossRef] [MathSciNet]
  2. G. Buttazzo and P. Guasoni, Shape optimization problems over classes of convex domains. J. Convex Anal. 4 (1997) 343–351.
  3. G. Buttazzo and B. Kawohl, On Newton's problem of minimal resistance. Math. Intell. 15 (1993) 7–12. [CrossRef]
  4. G. Buttazzo, V. Ferone and B. Kawohl, Minimum problems over sets of concave functions and related questions. Math. Nachr. 173 (1995) 71–89. [CrossRef] [MathSciNet]
  5. M. Comte and T. Lachand-Robert, Newton's problem of the body of minimal resistance under a single-impact assumption. Calc. Var. 12 (2001) 173–211. [CrossRef]
  6. M. Comte and T. Lachand-Robert, Existence of minimizers for Newton's problem of the body of minimal resistance under a single-impact assumption. J. Anal. Math. 83 (2001) 313–335. [CrossRef]
  7. T. Lachand-Robert and E. Oudet, Minimizing within convex bodies using a convex hull method. SIAM J. Optim. 16 (2006) 368–379. [CrossRef]
  8. T. Lachand-Robert and M.A. Peletier, Newton's problem of the body of minimal resistance in the class of convex developable functions. Math. Nachr. 226 (2001) 153–176. [CrossRef]
  9. T. Lachand-Robert and M.A. Peletier, An example of non-convex minimization and an application to Newton's problem of the body of least resistance. Ann. Inst. H. Poincaré Anal. Non Linéaire 18 (2001) 179–198. [CrossRef] [MathSciNet]
  10. I. Newton, Philosophiae naturalis principia mathematica (1686).
  11. A.Yu. Plakhov, Newton's problem of a body of minimal aerodynamic resistance. Dokl. Akad. Nauk 390 (2003) 314–317.
  12. A.Yu. Plakhov, Newton's problem of the body of minimal resistance with a bounded number of collisions. Russ. Math. Surv. 58 (2003) 191–192. [CrossRef]
  13. A. Plakhov and D. Torres, Newton's aerodynamic problem in media of chaotically moving particles. Sbornik: Math. 196 (2005) 885–933. [CrossRef]
  14. V.M. Tikhomirov, Newton's aerodynamical problem. Kvant 5 (1982) 11–18 [in Russian].

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