Electromagnetism of Continuous Media: Mathematical Modelling and Applications (Oxford Mathematical Monographs)

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9780198527008: Electromagnetism of Continuous Media: Mathematical Modelling and Applications (Oxford Mathematical Monographs)

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.

Review:

`... a worthy continuation of well-known works on electromagnetic theory such as Stratton and Smythe, although the notation is not always quite the same.' Zentralblatt MATH

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Fabrizio, Mauro, Morro, Angelo
Editore: Oxford University Press (2017)
ISBN 10: 0198527004 ISBN 13: 9780198527008
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Descrizione libro Oxford University Press, 2017. Hardcover. Condizione libro: New. Never used! This item is printed on demand. Codice libro della libreria P110198527004

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Morra, Angelo
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Descrizione libro OUP Oxford, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780198527008_lsuk

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Descrizione libro OUP Oxford, 2003. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IP-9780198527008

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Descrizione libro OUP Oxford, 2003. HRD. Condizione libro: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Codice libro della libreria IP-9780198527008

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Mauro Fabrizio; Angelo Morro
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Descrizione libro Oxford University Press, 2003. Hardcover. Condizione libro: New. book. Codice libro della libreria M0198527004

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Descrizione libro Oxford University Press, United Kingdom, 2003. Hardback. Condizione libro: New. New.. Language: English . Brand New Book ***** Print on Demand *****.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) and emphasizes the physical motivation for the modelling of non-conventional materials. The frequency-dependent properties (such as conductivity, polarizability, and magnetizability), which enter wave diffraction 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 is devoted 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 and hysteresis. 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 for prediction. 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. Codice libro della libreria APC9780198527008

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Mauro Fabrizio, Angelo Morro
Editore: Oxford University Press, United Kingdom (2003)
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Descrizione libro Oxford University Press, United Kingdom, 2003. Hardback. Condizione libro: New. New.. Language: English . Brand New Book ***** Print on Demand *****. 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) and emphasizes the physical motivation for the modelling of non-conventional materials. The frequency-dependent properties (such as conductivity, polarizability, and magnetizability), which enter wave diffraction 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 is devoted 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 and hysteresis. 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 for prediction. 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. Codice libro della libreria APC9780198527008

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Descrizione libro Oxford University Press, USA, 2003. Hardcover. Condizione libro: New. Codice libro della libreria DADAX0198527004

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Descrizione libro Condizione libro: New. This item is Print on Demand - Depending on your location, this item may ship from the US or UK. Codice libro della libreria POD_9780198527008

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