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Electromagnetic Hypogene Co-seismic Sources

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Applied Mathematical Problems in Geophysics

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 2308))

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Abstract

We survey some mathematical models for electro-magnetic emission due to electro-mechanically generated sources in heterogeneous materials. Because of the applications in geophysics, we focus our attention on parabolic approximations of Maxwell’s equations; also, we estimate under various assumptions the discrepancy with respect to the complete set of classical electrodynamics. Then, we introduce a related inverse problem.

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Acknowledgements

The uniqueness for atomic sources presented in Sect. 5.6.2 was illustrated to the author by Sergio Vessella in private communication. Some results commented in this paper were presented in Cetraro, Italy in Summer 2019, during the CIME-EMS Summer School in applied mathematics “Applied Mathematical Problems in Geophysics”. The author is grateful to Massimo Chiappini, Roberto Carluccio, and Cesidio Bianchi from the Istituto Nazionale di Geofisica e Vulcanologia INGV for their interest in this research, and the Istituto Nazionale di Alta Matematica INDAM is acknowledged for the financial support.

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Authors and Affiliations

  1. Istituto Nazionale per le Applicazioni del Calcolo “M. Picone”, Roma, Italy

    Giovanni Franzina

Authors
  1. Giovanni Franzina
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Correspondence to Giovanni Franzina .

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Editors and Affiliations

  1. Geomagnetism, Aeronomy and Environmental Geophysics, Istituto Nazionale di Geofisica e Vulcanologia, Roma, Italy

    Massimo Chiappini

  2. Department of Mathematics and Computer Science “Ulisse Dini”, University of Florence, Firenze, Italy

    Vincenzo Vespri

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Franzina, G. (2022). Electromagnetic Hypogene Co-seismic Sources. In: Chiappini, M., Vespri, V. (eds) Applied Mathematical Problems in Geophysics. Lecture Notes in Mathematics(), vol 2308. Springer, Cham. https://doi.org/10.1007/978-3-031-05321-4_5

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