A Survey on the Newton Problem of Optimal Profiles

被引：10

作者：

Buttazzo, Giuseppe ^{[1
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

来源：

VARIATIONAL ANALYSIS AND AEROSPACE ENGINEERING | 2009年 / 33卷

关键词：

MINIMAL RESISTANCE; AERODYNAMIC PROBLEM; BODY; BODIES;

D O I：

10.1007/978-0-387-95857-6_3

中图分类号：

V [航空、航天];

学科分类号：

08 ; 0825 ;

摘要：

This chapter aims to present a Survey on some recent results about One of the first problems in the calculus of variations, namely Newton's problem of minimal resistance. Many variants of the problem can be Studied, in relation to the various admissible classes of domains under consideration and to the different constraints that can be imposed. Here we limit Ourselves essentially to the convex case. Other presentations in the workshop will deal with other kinds of domains.

引用

页码：33 / 48

页数：16

共 30 条

[1] Belloni M, 2003, J CONVEX ANAL, V10, P491
[2] Brock F, 1996, CALC VAR PARTIAL DIF, V4, P593, DOI 10.1007/s005260050055
[3] MINIMUM PROBLEMS OVER SETS OF CONCAVE FUNCTIONS AND RELATED QUESTIONS
BUTTAZZO, G
FERONE, V
KAWOHL, B
[J]. MATHEMATISCHE NACHRICHTEN, 1995, 173 : 71 - 89
[4] ON NEWTONS PROBLEM OF MINIMAL RESISTANCE
BUTTAZZO, G
KAWOHL, B
[J]. MATHEMATICAL INTELLIGENCER, 1993, 15 (04) : 7 - 12
[5] Buttazzo G., 1998, ONE DIMENSIONAL CALC
[6] Buttazzo G., 1997, J. Convex Anal., V4, P343
[7] Buttazzo G., 1989, Pitman Res. Notes Math. Ser., V207
[8] Regularity of solutions for some variational problems subject to a convexity constraint
Carlier, G
Lachand-Robert, T
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2001, 54 (05) : 583 - 594
[9] Existence of minimizers for Newton's problem of the body of minimal resistance under a single impact assumption
Comte, M
Lachand-Robert, T
[J]. JOURNAL D ANALYSE MATHEMATIQUE, 2001, 83 (1): : 313 - 335
[10] Newton's problem of the body of minimal resistance under a single-impact assumption
Comte, M
Lachand-Robert, T
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2001, 12 (02) : 173 - 211

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