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Integral Representation and Its Applications in Earthquake Mechanics: A Review

  • Shiro Hirano
Conference paper
Part of the Mathematics for Industry book series (MFI, volume 30)

Abstract

In seismology, a faulting process as a source is linked with an elastic wavefield as an observable not only via a partial differential equation (PDE) but also via an integral equation. We conduct a review of these links and focus on the latter in terms of forward/inverse analyses of kinematic/dynamic modeling, which are investigated by many seismologists. Difficulties in the analyses are also mentioned: estimation and hyper-singularity of an integration kernel, determination of the number of parameters for modeling, and assumed dynamic friction on faults.

Notes

Acknowledgements

The author is grateful to T. Yamaguchi and T. Kusakabe for helpful discussions. Comments from a reviewer contributed to improve the manuscript.

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Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.College of Science and EngineeringRitsumeikan UniversityKusatsu-cityJapan

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