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Instability in a delay-PDE model of earthquake occurrence

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Summary

Ductile deformation prior to brittle fracture in rocks causes fracture to take place with a time delay after the critical stress for fracture is reached, in the presence of an increasing load stress. We discuss the stability of a stochastic model of interactive earthquake occurrence under the influence of time delays resulting from the ductile process. A threshold for oscillatory behavior is found for large enough coupling and discrete time delays. The system is stable if the time delays are spread over a broad time interval, even for large coupling.

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Author notes

  1. D. B. Rosenblatt

    Present address: Institute of Geophysics and Planetary Physics, University of California, 92093, San Diego, CA, USA

Authors and Affiliations

  1. Institute of Geophysics and Planetary Physics, University of California, 90024, Los Angeles, CA, USA

    D. B. Rosenblatt & L. Knopoff

  2. Department of Physics, University of California, 90024, Los Angeles, CA, USA

    L. Knopoff

Authors
  1. D. B. Rosenblatt
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  2. L. Knopoff
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Communicated by Mikhail Vishik

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Rosenblatt, D.B., Knopoff, L. Instability in a delay-PDE model of earthquake occurrence. J Nonlinear Sci 1, 279–288 (1991). https://doi.org/10.1007/BF01238815

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  • DOI: https://doi.org/10.1007/BF01238815

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