Friedman, Avner; Tello, J. Ignacio Head-media interaction in magnetic recording. (English) Zbl 1009.34016 J. Differ. Equations 171, No. 2, 443-461 (2001). The authors study a boundary value problem for a coupled system of two nonautonomous ordinary differential equations representing a model for tape-head interaction in magnetic recording. A theorem for the existence of a smooth solution when the magnetic head has a discontinuous profile is proven. For clarity, the case of twice continuously differentiable profiles is first discussed by using a method of sub- and super-solutions and Schauder’s fixed-point theorem. Finally, the discussion is generalized to the discontinuous profile case. Reviewer: Kazuyuki Yagasaki (Gifu) Cited in 4 Documents MSC: 34B15 Nonlinear boundary value problems for ordinary differential equations 82D40 Statistical mechanics of magnetic materials 34A36 Discontinuous ordinary differential equations 34C60 Qualitative investigation and simulation of ordinary differential equation models Keywords:tape-head interaction; coupled ordinary differential equations; discontinuity; smooth solution; magnetic recording PDFBibTeX XMLCite \textit{A. Friedman} and \textit{J. I. Tello}, J. Differ. Equations 171, No. 2, 443--461 (2001; Zbl 1009.34016) Full Text: DOI References: [1] Bhushan, B., Tribology and Mechanics of Magnetic Storage Devices (1990), Springer-Verlag: Springer-Verlag New York [2] Bhushan, B., Mechanics and Reliability of Flexible Magnetic Media (1992), Springer-Verlag: Springer-Verlag New York [3] Friedman, A., Mathematics in Industrial Problems. Mathematics in Industrial Problems, IMA, 67 (1994), Springer-Verlag: Springer-Verlag New York · Zbl 0848.00012 [4] Friedman, A.; Hu, B., Head-media interaction in magnetic recording, Arch. Rational Mech. Anal., 140, 79-101 (1997) · Zbl 0894.35114 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.