Electromagnetism of Continuous Media: Mathematical Modelling and Applications

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9780198527008: Electromagnetism of Continuous Media: Mathematical Modelling and Applications

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione:

This ample monograph deals with mathematical models for electromagnetic phenomena in media exhibiting nonconventional characteristics. There is a wealth of material divided into several parts. ( Mathematical Reviews)

There is a wealth of material. ( Mathematical Reviews)

The book is well written and the printing is excellent ... It can be thoroughly recommended. ( Zentralblatt MATH)

Contenuti:

  • Preface
  • Part I: Basic Notions in Electromagnetism1: Electromagnetic fields
  • 2: Green's functions and retarded potentials
  • 3: Time-harmonic fields
  • 4: Models of materials with memory
  • Part II: Thermodynamics and Mathematical Problems5: Thermodynamics of simple electromagnetic systems
  • 6: Thermoelectromagnetic systems
  • 7: Existence and uniqueness
  • 8: Wave propagation
  • 9: Extremum principles
  • Part III: Nonlinearity and Nonlocality10: Problems in nonlinear electromagnetism
  • 11: Nonlocal electromagnetism and superconductivity
  • 12: Magnetic hysteresis
  • AppendicesA: Some properties of Bessel functions
  • B: Fourier transforms and Sobolev spaces
  • C: Compact operators and eigenfunctions
  • D: Differential operators in curvilinear coordinates
  • E: Finite formulation of electromagnetism

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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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. 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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Descrizione libro Oxford University Press, 2003. Hardcover. Condizione libro: New. book. Codice libro della libreria 0198527004

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Descrizione libro Oxford University Press, United Kingdom, 2003. Hardback. Condizione libro: New. New.. 234 x 154 mm. 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
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Descrizione libro Oxford University Press, United Kingdom, 2003. Hardback. Condizione libro: New. New.. 234 x 154 mm. 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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Fabrizio, Mauro; Morro, Angelo
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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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Descrizione libro Oxford Univ Pr, 2003. Hardcover. Condizione libro: Brand New. 1st edition. 688 pages. 9.25x6.25x1.50 inches. In Stock. Codice libro della libreria 0198527004

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