EXISTENCE OF PERIODIC SOLUTIONS FOR A FREE BOUNDARY PROBLEM OF HYPERBOLIC TYPE

被引：0

作者：

Nakane, Kazuaki ^{[1
]}

Shinohara, Tomoko ^{[2
]}

机构：

[1] Grad Sch Med, Div Hlth Sci, Suita, Osaka 5650871, Japan

[2] Tokyo Metropolitan Coll Ind Technol, Shinagawa Ku, Tokyo 1400011, Japan

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2008年 / 5卷 / 04期

关键词：

Free boundary; hyperbolic equation; variational problem;

D O I：

10.1142/S0219891608001702

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A free boundary problem that arises from the physical phenomenon of "peeling a thin tape from a domain" is treated. In this phenomenon, the movement of the tape is governed by a hyperbolic equation and is affected by the peeling front. We are interested in the behavior of the peeling front, especially, the phenomenon of self-excitation vibration. In the present paper, a mathematical model of this phenomenon is proposed. The cause of this vibration is discussed in terms of adhesion.

引用

页码：785 / 806

页数：22

共 8 条

[1]

ALT HW, 1981, J REINE ANGEW MATH, V325, P105

[2]

Alt HW., 1984, Ann. Scuola Norm. Sup. Pisa Cl. Sci, V11, P1

[3] A numerical approach to the asymptotic behavior of solutions of a one-dimensional free boundary problem of hyperbolic type [J].

Imai, H ;

Kikuchi, K ;

Nakane, K ;

Omata, S ;

Tachikawa, T .

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2001, 18 (01) :43-58

[4]

Kikuchi K., 1999, ADV MATH SCI APPL, V9, P775

[5] Global solutions to a one-dimensional hyperbolic free boundary problem which arises in peeling phenomena [J].

Nakane, K ;

Shinohara, T .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 152 (1-2) :367-375

[6] Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type [J].

Nakane, K .

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2001, 77 (07) :103-107

[7]

NAKANE K, 2003, P 2001 DCDIS C, P289

[8]

YAMAZAKI Y, 2001, RES I MATH SCI KOKYU, V1231, P56

← 1 →