Billiards, invisibility, and perfectly streamlining objects

G. Galperin, A. Plakhov

Анотація


---

Повний текст:

PDF (English)

Посилання


A.AleksenkoandA.Plakhov.Bodiesofzeroresistanceandbodiesinvisibleinonedirection.Nonlinearity22,1247-1258(2009).

M.BelloniandB.Kawohl.ApaperofLegendrerevisited.ForumMath.9,655-668(1997).

F.Brock,V.FeroneandB.Kawohl.Asymmetryprobleminthecalculusofvariations.Calc.Var.4,593-599(1996).

D. Bucur and G. Buttazzo. Variational Methods in Shape Optimization Problems. Birkhäuser (2005).

G. Buttazzo, V. Ferone, and B. Kawohl. Minimum problems over sets of concave functions and related questions. Math. Nachr. 173, 71-89 (1995).

G. Buttazzo and B. Kawohl. On Newton's problem of minimal resistance. Math. Intell. 15, 7-12 (1993).

M. Comte, T. Lachand-Robert. Newton's problem of the body of minimal resistance under a single-impact assumption. Calc. Var. Partial Differ. Equ. 12, 173-211 (2001).

M. Comte, 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, 313-335 (2001).

M. Comte and T. Lachand-Robert. Functions and domains having minimal resistance under a single-impact assumption. SIAM J. Math. Anal. 34 (2002), 101-120.

G. Galperin. Relationship between Euclidean, Lobachevskian (hyperbolic), and Billiard metrics and its application to a billiard problem in Rd. Regular and Chaotic Dynamics 8, 441-448 (2003).

T. Lachand-Robert and E. Oudet. Minimizing within convex bodies using a convex hull method. SIAM J. Optim. 16, 368-379 (2006).

T. Lachand-Robert, M. A. Peletier. Newton's problem of the body of minimal resistance in the class of convex developable functions. Math. Nachr. 226, 153-176 (2001).

I. Newton. Philosophiae naturalis principia mathematica. 1687.

A. Plakhov. Scattering in billiards and problems of Newtonian aerodynamics. Russian Mathematical Surveys 64, 873–938 (2009).

A. Plakhov. Optimal roughening of convex bodies. Canad. J. Math. 64, 1058-1074 (2012).


Пристатейна бібліографія ГОСТ




Посилання

  • Поки немає зовнішніх посилань.