The problem of thermo-chemical formation of a composite material. Properties of solutions and homogenization |
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| Authors: | A A Amosov G P Panasenko |
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| Institution: | 1.National Research University “Moscow Power Engineering Institute”,Moscow,Russia;2.Laboratory of Mathematics,University of Saint étienne,étienne,France |
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| Abstract: | We study a problem with rapidly oscillating coefficients which arises in describing the process of thermo-chemical formation
of a composite material. We homogenize this problem and study the existence and uniqueness of solutions to the original and
homogenized problems, as well as properties of the solutions. We estimate an error in homogenization with order O( ?{e} ) O\left( {\sqrt {\varepsilon } } \right) in the energy norm and with order O(ε) in the L
∞-norm. Bibliography: 10 titles. |
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