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- W2238078412 abstract "The heat equation is considered in the complex medium consisting of many small bodies (particles) embedded in a given material. On the surfaces of the small bodies an impedance boundary condition is imposed. An equation for the limiting field is derived when the characteristic size a of the small bodies tends to zero, their total number (mathcal{N}(a)) tends to infinity at a suitable rate, and the distance d = d(a) between neighboring small bodies tends to zero: a < < d, (lim _{arightarrow 0} frac{a} {d(a)} = 0). No periodicity is assumed about the distribution of the small bodies. These results are basic for a method of creating a medium in which heat signals are transmitted along a given line. The technical part for this method is based on an inverse problem of finding potential with prescribed eigenvalues." @default.
- W2238078412 created "2016-06-24" @default.
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- W2238078412 date "2016-01-01" @default.
- W2238078412 modified "2023-09-27" @default.
- W2238078412 title "Heat Transfer in a Complex Medium" @default.
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- W2238078412 doi "https://doi.org/10.1007/978-3-319-29701-9_8" @default.
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