Differential Equation;
Boundary Layer;
Couple System;
Smooth Solution;
Magnetic Record;
D O I:
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中图分类号:
学科分类号:
摘要:
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.