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Electromagnetism of Continuous Media: Mathematical Modelling and Applications (Oxford Mathematical Monographs) - Hardcover
Synopsis
The wide application of techniques in new mechanical, electronic and biomedical systems calls for materials and structures with non-conventional properties (i.e. materials with 'memory'). Of equal importance is the understanding of the physical behavior of these materials and consequently developing mathematical modelling techniques for prediction. This self contained text discusses the mathematical modelling used with these types of electromagnetic materials. It provides a carefully structured, coherent and comprehensive treatment of electromagnetism of continuous media. The authors provide a systematic review of known subjects along with original results about thermodynamics of electromagnetic materials, well-posedness of initial boundary-value problems, variational settings, and wave propagation. Models of non-linear materials, non-local materials (superconductors), and hysteretic (magnetic) materials are also developed in detail.
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About the Author
Mauro Fabrizio is a Professor of Rational Mechanics, Department of Mathematics, University of Bologna, Italy. Angelo Morro is a Professor of Mathematical Physics, DIBE, University of Genoa, Italy.
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Electromagnetism of Continuous Media : Mathematical Modelling and Applications
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ISBN 10: 0198527004
ISBN 13: 9780198527008
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Electromagnetism of Continuous Media (Hardcover)
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ISBN 10: 0198527004
ISBN 13: 9780198527008
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Hardcover. Condition: new. Hardcover. For graduate students and researchers, this self contained text provides a carefully structured, coherent, and comprehensive treatment of the mathematical modelling in electromagnetism of continuous media. The authors provide a systematic review of known subjects along with many original results.Part I reviews basic notions and approaches in electromagnetism (Maxwell's equations, Green's functions, harmonic fields, dispersive effects) andemphasizes the physical motivation for the modelling of non-conventional materials. The frequency-dependent properties (such as conductivity, polarizability, and magnetizability), which enter wavediffraction and dispersion, are shown, and these lead to a discussion of models of materials with fading memory in the time domain.Part II develops the thermodynamics of electromagnetic and thermoelectromagnetic materials with memory and provides a systematic account of thermodynamic restrictions. Existence, uniqueness and stability problems are investigated. Also, variational formulations and wave propagation solution are established.Part III isdevoted to more involved models which are motivated by the interest in materials and structures with non-conventional properties. The mathematical modelling deals with non-linearity, non-locality andhysteresis. In non-linear materials attention is focussed on the generation of harmonics and in discontinuity waves. Non-locality is examined in a general way and hence is applied to superconductivity. Hysteresis is developed for magnetism. A review of known schemes is given along with new results about the modelling of hysteresis loops. The wide application of technologies in new mechanical, electronic and biomedical systems calls for materials and structures with non-conventional properties(e.g materials with 'memory'). Of equal importance is the understanding of the physical behaviour of these materials and consequently developing mathematical modelling techniques forprediction.Includes appendices that include some properties of Bessel functions, Fourier transforms and Sobolev spaces, compact operators and eigenfunctions, differential operators in curvilinear coordinates, and finite formulation of electromagnetism. This self contained text discusses the mathematical modelling used with electromagnetic materials. It provides a treatment of electromagnetism of continuous media, and a review of known subjects. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198527008
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Electromagnetism of Continuous Media : Mathematical Modelling and Applications
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Electromagnetism of Continuous Media: Mathematical Modelling and Applications (Oxford Mathematical Monographs)
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Condition: New. The wide application of technologies in mechanical, electronic and biomedical systems calls for materials and structures with non-conventional properties. This text discusses the mathematical modelling used with these types of electromagnetic materials and provides a comprehensive treatment of electromagnetism of continuous media. Num Pages: 688 pages, 13 figures. BIC Classification: PBW; PHH; PHK; PHS. Category: (U) Tertiary Education (US: College). Dimension: 241 x 161 x 38. Weight in Grams: 1068. . 2003. Illustrated. hardcover. . . . . Seller Inventory # V9780198527008
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Electromagnetism of Continuous Media: Mathematical Modelling and Applications (eng)
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Electromagnetism of Continuous Media : Mathematical Modelling and Applications
Published by
Oxford University Press, 2003
ISBN 10: 0198527004
ISBN 13: 9780198527008
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Electromagnetism of Continuous Media (Hardcover)
Published by
Oxford University Press, Oxford, 2003
ISBN 10: 0198527004
ISBN 13: 9780198527008
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Hardcover. Condition: new. Hardcover. For graduate students and researchers, this self contained text provides a carefully structured, coherent, and comprehensive treatment of the mathematical modelling in electromagnetism of continuous media. The authors provide a systematic review of known subjects along with many original results.Part I reviews basic notions and approaches in electromagnetism (Maxwell's equations, Green's functions, harmonic fields, dispersive effects) andemphasizes the physical motivation for the modelling of non-conventional materials. The frequency-dependent properties (such as conductivity, polarizability, and magnetizability), which enter wavediffraction and dispersion, are shown, and these lead to a discussion of models of materials with fading memory in the time domain.Part II develops the thermodynamics of electromagnetic and thermoelectromagnetic materials with memory and provides a systematic account of thermodynamic restrictions. Existence, uniqueness and stability problems are investigated. Also, variational formulations and wave propagation solution are established.Part III isdevoted to more involved models which are motivated by the interest in materials and structures with non-conventional properties. The mathematical modelling deals with non-linearity, non-locality andhysteresis. In non-linear materials attention is focussed on the generation of harmonics and in discontinuity waves. Non-locality is examined in a general way and hence is applied to superconductivity. Hysteresis is developed for magnetism. A review of known schemes is given along with new results about the modelling of hysteresis loops. The wide application of technologies in new mechanical, electronic and biomedical systems calls for materials and structures with non-conventional properties(e.g materials with 'memory'). Of equal importance is the understanding of the physical behaviour of these materials and consequently developing mathematical modelling techniques forprediction.Includes appendices that include some properties of Bessel functions, Fourier transforms and Sobolev spaces, compact operators and eigenfunctions, differential operators in curvilinear coordinates, and finite formulation of electromagnetism. This self contained text discusses the mathematical modelling used with electromagnetic materials. It provides a treatment of electromagnetism of continuous media, and a review of known subjects. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198527008
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Electromagnetism of Continuous Media: Mathematical Modelling and Applications (Oxford Mathematical Monographs)
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Condition: New. The wide application of technologies in mechanical, electronic and biomedical systems calls for materials and structures with non-conventional properties. This text discusses the mathematical modelling used with these types of electromagnetic materials and provides a comprehensive treatment of electromagnetism of continuous media. Num Pages: 688 pages, 13 figures. BIC Classification: PBW; PHH; PHK; PHS. Category: (U) Tertiary Education (US: College). Dimension: 241 x 161 x 38. Weight in Grams: 1068. . 2003. Illustrated. hardcover. . . . . Books ship from the US and Ireland. Seller Inventory # V9780198527008