A numerical approach to the asymptotic behavior of solutions of a one-dimensional free boundary problem of hyperbolic type

Authors
Imai, H Kikuchi, K Nakane, K Omata, S Tachikawa, T
Citation
H. Imai et al., A numerical approach to the asymptotic behavior of solutions of a one-dimensional free boundary problem of hyperbolic type, JPN J I A M, 18(1), 2001, pp. 43-58
Citations number
9
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
ISSN journal
09167005 → ACNP
Volume
18
Issue
1
Year of publication
2001
Pages
43 - 58
Database
ISI
SICI code
0916-7005(200102)18:1<43:ANATTA>2.0.ZU;2-W
Abstract
A free boundary problem which arises from the physical model called "peelin g" will be analyzed numerically. To obtain an equation which describes the motion of the free boundary, the fixed domain method is applied. By using t he equation, numerical computations are carried out. Our numerical computat ions suggest that the peeling speed plays an important role in the existenc e of global solutions.