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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Eddy Current Approximation of Maxwell Equations - Theory, Algorithms and Applications (Paperback, 2010 ed.)
Loot Price: R3,139
Discovery Miles 31 390
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Eddy Current Approximation of Maxwell Equations - Theory, Algorithms and Applications (Paperback, 2010 ed.)
Series: MS&A, 4
Expected to ship within 10 - 15 working days
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Continuamentenasconoifatti 1 aconfusionedelleteorie 2 Carlo Dossi
Electromagnetism is withoutany doubt a fascinating area of physics,
engineering and mathematics. Since the early pioneeringworks
ofAmpere, Faraday, and Maxwell, the scienti?cliteratureon this
subject has become immense, and books devoted to almost all of its
aspects have been published in the meantime. However,
webelievethatthereisstillsomeplacefornew booksdealingwithel-
tromagnetism, particularly if they are focused on more speci?c
models, or try to mix different levels of analysis: rigorous
mathematical results, sound numerical appro- mation schemes,
real-life examples from physics and engineering. The complete
mathematical description of electromagnetic problems is provided by
the celebrated Maxwell equations, a system of partial differential
equations - pressed interms ofphysical
quantitiesliketheelectric?eld, themagnetic?eld and the
currentdensity.Maxwell'scontributiontotheformulationofthese
equationsisrelated to the introductionof a speci?c term, called
displacement current, that he proposed to add to the set of
equations generally assumed to hold at that time, in order to
ensure the conservation of the electric charge. The presence of the
displacement current permits to describe one of the most - portant
phenomenon in electromagnetism, namely, wave propagation; however,
in many interesting applications the propagation speed of the wave
is very high with respect to the ratio of some typical length and
time scale of the considered device, and therefore the dominant
aspect becomes the diffusionof the electromagnetic ?elds. When the
focus is on diffusioninstead of propagation, from the
modelingpointof view this corresponds to neglecting the time
derivative of the electric induction (i.e., thedisplacement current
introducedby Maxwell)or, alternatively,neglectingthe time
derivative of the magnetic induction.
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