scholarly journals Temporal limits of the power law aftershock decay rate

2002 ◽  
Vol 107 (B12) ◽  
pp. ESE 12-1-ESE 12-14 ◽  
Author(s):  
C. Narteau ◽  
P. Shebalin ◽  
M. Holschneider
2008 ◽  
Vol 15 (2) ◽  
pp. 245-263 ◽  
Author(s):  
C. Narteau ◽  
P. Shebalin ◽  
M. Holschneider

Abstract. We estimate the loading rate in southern California and the change in stress induced by a transient slip event across the San Andreas fault (SAF) system in central California, using a model of static fatigue. We analyze temporal properties of aftershocks in order to determine the time delay before the onset of the power law aftershock decay rate. In creep-slip and stick-slip zones, we show that the rate of change of this delay is related to seismic and aseismic deformation across the SAF system. Furthermore, we show that this rate of change is proportional to the deficit of slip rate along the SAF. This new relationship between geodetic and seismological data is in good agreement with predictions from a Limited Power Law model in which the evolution of the duration of a linear aftershock decay rate over short time results from variations in the load of the brittle upper crust.


2006 ◽  
Vol 21 (07) ◽  
pp. 593-601
Author(s):  
JILIANG JING

We study analytically the evolution of massless Dirac fields in the background of the Schwarzschild black hole. It is shown that although the quasinormal frequencies are the same for opposite chirality with the same |k|, we can differentiate neutrinos from anti-neutrinos in evolution of the massless Dirac fields provided we know both stages for the quasinormal modes and the power-law tail behavior since the decay rate of the neutrinos is described by t-(2|k|+1) while anti-neutrinos is t-(2|k|+3).


2013 ◽  
Vol 26 (3-4) ◽  
pp. 185-190 ◽  
Author(s):  
Zhe Jia ◽  
Weiwen Chen ◽  
Risheng Chu

Author(s):  
Caihong Gu ◽  
Yanbin Tang

In this paper we consider the global existence, regularizing-decay rate and asymptotic behavior of mild solutions to the Cauchy problem of fractional drift diffusion system with power-law nonlinearity. Using the properties of fractional heat semigroup and the classical estimates of fractional heat kernel, we first prove the global-in-time existence and uniqueness of the mild solutions in the frame of mixed time-space Besov space with multi-linear continuous mappings. Then we show the asymptotic behavior and regularizing-decay rate estimates of the solution to equations with power-law nonlinearity by the method of multi-linear operator and the classical Hardy-Littlewood-Sobolev inequality.


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