Short-wavelength asymptotic solution of the problem of a moving point source in a time-dependent inhomogeneous medium

1990 ◽  
Vol 50 (6) ◽  
pp. 1959-1965 ◽  
Author(s):  
N. S. Grigor'eva
1984 ◽  
Vol 19 (1) ◽  
pp. 53-60 ◽  
Author(s):  
A. Chattopadhyay ◽  
A.K. Pal ◽  
M. Chakraborty

2001 ◽  
Vol 56 (6-7) ◽  
pp. 509-522 ◽  
Author(s):  
P. K. Bhatia ◽  
B. S. Bhadauria

Abstract The stability of a horizontal layer of fluid heated from below is examined when, in addition to a steady temperature difference between the horizontal walls of the layer a time-dependent low-frequency per­ turbation is applied to the wall temperatures. An asymptotic solution is obtained which describes the be­ haviour of infinitesimal disturbances to this configuration. Possible stability criteria are analyzed and the results are compared with the known experimental as well as numerical results.


Author(s):  
Adel Hamdi ◽  
Imed Mahfoudhi

AbstractThe paper deals with the nonlinear inverse source problem of identifying an unknown time-dependent point source occurring in a two-dimensional evolution advection-dispersion-reaction equation with spatially varying velocity field and dispersion tensor. The


1979 ◽  
Vol 69 (6) ◽  
pp. 1693-1714
Author(s):  
F. Abramovici ◽  
J. Gal-Ezer

abstract The time-dependent solution for a multipolar source in a structure consisting of a homogeneous layer over a homogeneous half-space is obtained as a sum of generalized rays. Numerical seismograms are calculated for a horizontal strikeslip and a horizontal dip-slip for a point-source, a finite line-source, and a finite two-dimensional source in the form of a rectangle. For comparison, the displacements in a homogeneous space and half-space are also calculated. The seismograms for finite sources are similar to those for a point-source but show less conspicuous phases, the arriving pulses being wider and less sharp.


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