Mathematical model of testing of pipeline integrity by thermal fields

2014 ◽  
Author(s):  
Nataliia Vaganova
Keyword(s):  
Mathematical Model ◽  
Thermal Fields

scholarly journals Fundamental Problems of the Electrodynamics of Heterogeneous Media

2012 ◽  
Vol 2012 ◽  
pp. 1-28 ◽  
Author(s):  
N. N. Grinchik ◽  
Yu. N. Grinchik
Keyword(s):  
Mathematical Model ◽  
Electric Double Layer ◽  
Layered Medium ◽  
Heterogeneous Media ◽  
Heterogeneous Medium ◽  
Surface Current ◽  
Charge Carriers ◽  
Thermal Fields ◽  
Dirichlet Theorem ◽  
Generalized Wave Equation

The consistent physic-mathematical model of propagation of an electromagnetic wave in a heterogeneous medium is constructed using the generalized wave equation and the Dirichlet theorem. Twelve conditions at the interfaces of adjacent media are obtained and justified without using a surface charge and surface current in explicit form. The conditions are fulfilled automatically in each section of counting schemes for calculations. A consistent physicomathematical model of interaction of nonstationaly electric and thermal fields in a layered medium with allowance or mass transfer is constructed. The model is based on the methods of thermodynamics and on the equations of an electromagnetic field and is formulated without explicit separation of the charge carriers and the charge of an electric double layer.

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model
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