Thermodynamics of the Gray Atmosphere. III. Entropy Defect and Source Function

1966 ◽  
Vol 146 ◽  
pp. 418 ◽  
Author(s):  
Rupert Wildt
Keyword(s):  
Source Function ◽  
Entropy Defect

Construction of a new source function for the parabolic equation algorithm

1977 ◽  
Vol 61 (S1) ◽  
pp. S12-S12
Author(s):  
H. M. Garon ◽  
J. S. Hanna ◽  
P. V. Rost
Keyword(s):  
Parabolic Equation ◽  
Source Function

An experimental study of source motion synthesis from first arrivals

1963 ◽  
Vol 53 (5) ◽  
pp. 955-963
Author(s):  
Henry N. Pollack
Keyword(s):  
Experimental Study ◽  
Source Function ◽  
Seismic Source ◽  
The Body ◽  
Body Waves ◽  
Fixed Position ◽  
Explosive Source ◽  
Simple Medium ◽  
Surface Ice ◽  
Source Motion

Abstract The motion near a seismic source is synthesized from experimentally obtained seismograms of non-dispersed body waves. The body waves were emitted from an explosive source submerged in a lake with a frozen surface. The seismograms were recorded at several distances by moving the source to a greater depth for each record, while the seismometer remained in a fixed position on the surface ice sheet. All syntheses of the waveform one meter from the source yield the impulsive nature of the source. Deviations between the synthesized one-meter record and the observed one-meter motion are thought to reflect primarily the changing character of the shot medium with depth from the ice. These results indicate that over the short propagation distances (about three wavelengths for the higher frequencies recorded) through the simple medium of this experiment, the observed waveforms and their associated spectra retain characteristics of the source function. The records also yield some information regarding the nature and structure of the elastic medium about the source.

scholarly journals Diffusion of dust particles emitted from a fixed source

2015 ◽  
Vol 4 (4) ◽  
pp. 454
Author(s):  
Khaled Al-mashrafi
Keyword(s):  
Source Function ◽  
Strong Dependence ◽  
Vertical Direction ◽  
Dust Particles ◽  
Special Values ◽  
Diffusion Parameters ◽  
Special Cases ◽  
Small Times ◽  
The Mathematical Model ◽  
General Time

<p>In this paper, we investigate the mathematical model for the diffusion of dust particles emitted from a fixed source. Mathematically, the time-dependent diffusion equation in the presence of a point source whose strength is dependent on time is solved. The solution in closed form for a source of general time dependence is obtained. A number of special cases, in which the source function of time is explicitly given and special values of the diffusion parameters are taken are examined in detail. The numerical calculations show the strong dependence of the concentration of dust on the speed of the wind, the source, and its position in the vertical direction. It is also found that the diffusion parameters play an important role in the spread of the dust particles in the atmosphere. When diffusion is present only in the vertical direction, it is found that for small times the dust spreads with a front that travels with the speed of the wind.</p>

Formation of the Source Function Generating a Specified Radiation Field

2018 ◽  
Vol 63 (7) ◽  
pp. 752-760
Author(s):  
G. S. Malyshev ◽  
A. S. Raevskii ◽  
S. B. Raevskii
Keyword(s):  
Radiation Field ◽  
Source Function

scholarly journals The Problem of Determining of the Source Function and of the Leading Coefficient in the Many-dimensional Semilinear Parabolic Equation

2001 ◽  
Vol 14 (4) ◽  
pp. 497-506
Author(s):  
Svetlana V. Polyntseva ◽  
◽  
Kira I. Spirina
Keyword(s):  
Inverse Problem ◽  
Parabolic Equation ◽  
Existence And Uniqueness ◽  
Source Function ◽  
Time Interval ◽  
Semilinear Parabolic Equation ◽  
Existence And Uniqueness Theorem ◽  
Bounded Functions ◽  
The Many ◽  
Semilinear Parabolic

We consider the problem of determining the source function and the leading coefficient in a multidimensional semilinear parabolic equation with overdetermination conditions given on two different hypersurfaces. The existence and uniqueness theorem for the classical solution of the inverse problem in the class of smooth bounded functions is proved. A condition is found for the dependence of the upper bound of the time interval, in which there is a unique solution to the inverse problem, on the input data

Source Functions of CO2 and Future CO2 Burden in the Atmosphere

1977 ◽  
Vol 32 (12) ◽  
pp. 1544-1554
Author(s):  
K. E. Zimen ◽  
P. Offermann ◽  
G. Hartmann
Keyword(s):  
Fuel Consumption ◽  
Fossil Fuels ◽  
Source Function ◽  
Fossil Fuel ◽  
Status Quo ◽  
Growth Coefficient ◽  
Mauna Loa ◽  
Fossil Fuel Consumption ◽  
The Future ◽  
Kinetics Of

Abstract A logistic source function for CO2 was derived which takes into account the input arising from the burning of fossil fuels, the stimulation of photosynthesis by the increasing partial pressure of CO2, and the decrease of biomass through deforestation etc. The parameters in a 5-box-model for the kinetics of CO2 were adjusted to fit the new Mauna Loa data on CO2 concentrations in air. Using these parameters and a buffer factor ξ(t) for the absorption of CO2 into the sea, the future CO2 burden was calculated for status quo conditions and for different values of the growth coefficient of fossil fuel consumption. The results show that one can change the deforestation factor in rather wide limits without changing very much the future CO2 concentration in air during the next 80 years or so (cf. Figure 4). On the other hand, the future C02 burden depends strongly on the growth rate of fossil fuel consumption and will double under status quo conditions early in the next century (cf. Figure 5).

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