Friedman, Avner; Hu, Bei Head-media interaction in magnetic recording. (English) Zbl 0894.35114 Arch. Ration. Mech. Anal. 140, No. 1, 79-101 (1997). 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. Cited in 5 Documents 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 Keywords:head-tape interaction in magnetic recording; pressure; tape deflection; existence of a smooth solution; boundary layer phenomenon PDFBibTeX XMLCite \textit{A. Friedman} and \textit{B. Hu}, Arch. Ration. Mech. Anal. 140, No. 1, 79--101 (1997; Zbl 0894.35114) Full Text: DOI Link