Instability in a delay-PDE model of earthquake occurrence |
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| Authors: | D B Rosenblatt L Knopoff |
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| Institution: | (1) Institute of Geophysics and Planetary Physics, University of California, 90024 Los Angeles, CA, USA;(2) Present address: Institute of Geophysics and Planetary Physics, University of California, 92093 San Diego, CA, USA;(3) Department of Physics, University of California, 90024 Los Angeles, CA, USA |
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| Abstract: | 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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| Keywords: | creep time-delays infinite-dimensional systems earthquakes |
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