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Head-media interaction in magnetic recording. (English) Zbl 0894.35114

Summary: 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 experimentally. The two-dimensional case is briefly discussed.

MSC:

35Q72 Other PDE from mechanics (MSC2000)
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
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