dissipative media
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2021 ◽  
Vol 18 (10) ◽  
pp. 105401
Author(s):  
S V Sazonov
Keyword(s):  


JETP Letters ◽  
2021 ◽  
Vol 114 (3) ◽  
pp. 132-137
Author(s):  
S. V. Sazonov
Keyword(s):  


2021 ◽  
Vol 8 (4) ◽  
pp. 601-615
Author(s):  
M. Ait Ichou ◽  
◽  
H. El Amri ◽  
A. Ezziani ◽  
◽  
...  

The question of interest for the presented study is the mathematical modeling of wave propagation in dissipative media. The generalized fractional Zener model in the case of dimension d (d=1,2,3) is considered. This work is devoted to the mathematical analysis of such model: existence and uniqueness of the strong and weak solution and energy decay result which guarantees the wave dissipation. The existence of the weak solution is shown using a priori estimates for solutions which are also presented.



2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
O.A. Gulevich ◽  
◽  
L.B. Volkomirskaya ◽  
I.V. Mingalev ◽  
Z.V. Suvorova ◽  
...  

The results of the numerical solution of the problem of propagation of an electromagnetic video pulse signal of nanosecond duration in a dissipative medium are presented for use in the deep georadar data interpretation. Based on the developed scheme for integrating Maxwell's equations, the results of numerical modeling of the propagation of electromagnetic pulses of various shapes without approximations, usually used in the traditional solution of GPR problems, including the separation of temporal and spatial variables of the electromagnetic field and neglect of the rapid field change in comparison with the processes occurring in the medium, are obtained. The influence of the pulse shape on the shape of the electromagnetic echo signal is considered for various models of the medium close to real conditions, including those with a gradient change in electrical conductivity and permittivity. The influence of the distribution of electrical conductivity of the medium is studied.



2020 ◽  
Vol 84 (9) ◽  
pp. 1086-1088
Author(s):  
M. A. Lugovaya ◽  
N. A. Shvetsova ◽  
A. N. Reznichenko ◽  
A. V. Nasedkin ◽  
A. N. Rybyanets


2020 ◽  
Vol 66 (3) ◽  
pp. 235-241
Author(s):  
O. A. Vasilieva ◽  
O. V. Rudenko
Keyword(s):  


2020 ◽  
Vol 101 (4) ◽  
Author(s):  
Marzye Hoseinzadeh ◽  
Ehsan Amooghorban ◽  
Ali Mahdifar ◽  
Maryam Aghabozorgi Nafchi


2019 ◽  
Vol 83 (9) ◽  
pp. 1062-1066
Author(s):  
A. N. Rybyanets ◽  
N. A. Shvetsova ◽  
I. A. Shvetsov ◽  
E. I. Petrova


2019 ◽  
Vol 43 (13) ◽  
pp. 7569-7578 ◽  
Author(s):  
Marianna Ruggieri ◽  
Maria Paola Speciale


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