scholarly journals Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type

2001 ◽  
Vol 77 (7) ◽  
pp. 103-107 ◽  
Author(s):  
Kazuaki Nakane
Keyword(s):  
Free Boundary ◽  
Global Existence ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Existence Of Solutions ◽  
Hyperbolic Type ◽  
One Dimensional ◽  
Global Existence Of Solutions

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

2008 ◽  
Vol 05 (04) ◽  
pp. 785-806
Author(s):  
KAZUAKI NAKANE ◽  
TOMOKO SHINOHARA
Keyword(s):  
Mathematical Model ◽  
Free Boundary ◽  
Hyperbolic Equation ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Physical Phenomenon ◽  
Hyperbolic Type ◽  
Existence Of Periodic Solutions ◽  
A Free Boundary Problem ◽  
Thin Tape

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.

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