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Titlebook: Mathematical Modelling of Continuum Physics; Angelo Morro,Claudio Giorgi Book 2023 The Editor(s) (if applicable) and The Author(s), under

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Book 2023tions for wide-ranging classes of materials.  Derivations of results are detailed through careful proofs, and the contents have been developed to ensure a self-contained and consistent presentation..Part I reviews the kinematics of continuous bodies and illustrates the general setting of balance law
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Electromagnetism of Continuous Mediand ions, are viewed as both binary mixtures and as a single fluid thus leading to magneto-hydrodynamic equations. Wave propagation of electromagnetic fields in chiral media and in ferrites is investigated.
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Superconductivity and Superfluidityting fluids. The conjecture that second sound is generated by the normal heat flux is made formal by investigating the propagation of discontinuity waves through a Maxwell-Cattaneo objective equation.
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Rate-Type Modelsstic-plastic and the Kelvin-Voigt solids and the Bingham, the Maxwell-Wiechert, and the Jeffreys fluids are shown to follow from rheological models. Spatial interaction is modelled through materials of higher-order grade as, for example, the Oldroyd-B fluid and the White-Metzner fluid.
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Aging and Higher-Order Grade Materialsives, in time or in space (materials of differential type). The dependence on time derivatives is an alternative to the functionals of histories when memory effects are of interest. Yet the time derivative is not objective and hence recourse is needed to objective time derivatives.
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