Head-Media Interaction in Magnetic Recording |
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| Authors: | Avner Friedman Bei Hu |
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| Institution: | (1) Institute for Mathematics and Its Applications, University of Minnesota, Minneapolis, Minnesota, USA, US;(2) Department of Mathematics, University of Notre Dame, Notre Dame, Indiana, USA, US |
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| Abstract: | The head‐tape interaction in magnetic recording is modelled by a coupled system of a second‐order differential equation for
the pressure and a fourth‐order differential equation for the tape deflection. There is also the constraint that the spacing
between the head and tape remains positive. In this paper, we study the stationary one‐dimensional case: We establish the
existence of a smooth solution and a boundary layer phenomenon observed both numerically and experimently. The two‐dimensional
case is briefly discussed.
Accepted April 24, 1996 |
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