Mathematical Models of Hysteresis
نویسنده
چکیده
1.1 Hysteresis Operators 3 1.2 The Duhem Model 13 1.3 Rheological Models of Elasto-plasticity 17 1.4 Discontinuous Hysteresis 35 1.5 Micromagnetism 45 1.6 Models of Hysteresis with Internal Variables 56 1.7 Genesis of Hysteresis and Coupling with PDEs 62 1.8 A Transport Equation with Hysteresis 69 1.9 A Quasilinear Parabolic PDE with Hysteresis 78 1.10 A Quasilinear Hyperbolic PDE with Hysteresis 91 1.11 Hysteresis in Porous-Media Filtration 98 1.12 Conclusions 105 1.13 Appendix. Elements of Convex Calculus 107 Acknowledgement 114 References 114
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