LIMIT FORM OF THE EQUATION OF ANISOTROPIC HEAT CONDUCTION 
IN A LAYER

A. I. Moshinskii

UDC 53.01

Consideration is given to the problem of asymptotic 
reduction to a two-dimensional equation of an equation that 
is three-dimensional along the coordinates and describes 
the process of heat propagation in an anisotropic material. 
The region of heat transfer is a layer that is thin along one 
coordinate. It is assumed that the matrix of the thermal 
diffusivities depends on the spatial coordinates. The effective 
thermal-diffusivity matrix is represented in the constructed 
equivalent heat conduction equation.

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JEPTER749203