Gavrish V. Mathematical models of heat conduction process for piecewise-homogeneous structures subject to thermal sensitivity

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0513U000828

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

07-06-2013

Specialized Academic Board

Д 35.052.05

Lviv Polytechnic National University

Essay

The thesis is dedicated to creation of linear and nonlinear mathematical models of the process of heat conduction for layered homogeneous and layered with foreign inclusions structures. Due to introduction of new transformations which for homogeneous bodies become Kirchhoff’s transformations which enable us to partially linearize initial differential equations, a theory of methods of linearization of non-linear boundary value problems of heat conduction for thermo-sensitive piecewise homogeneous structures has been developed.

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