Temat: non-Fourier equation - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Investigation of non-Fourier thermal waves interaction in a solid material
Autorzy:: Lenarczyk, Marcin
Domański, Roman
Powiązania:: https://bibliotekanauki.pl/articles/240472.pdf
Data publikacji:: 2019
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: non-Fourier equation
heat waves
hyperbolic heat conduction
thermal wave interaction
fale cieplne
przewodzenie ciepła
Opis:: In this paper, effects of non-Fourier thermal wave interactions in a thin film have been investigated. The non-Fourier, hyperbolic heat conduction equation is solved, using finite difference method with an implicit scheme. Calculations have been carried out for three geometrical configurations with various film thicknesses. The boundary condition of a symmetrical temperature step-change on both sides has been used. Time history for the temperature distribution for each investigated case is presented. Processes of thermal wave propagation, temperature peak build-up and reverse wave front creation have been described. It has been shown that (i) significant temperature overshoot can appear in the film subjected to symmetric thermal load (which can be potentially dangerous for reallife application), and (ii) effect of temperature amplification decreases with increased film thickness.
Źródło:: Archives of Thermodynamics; 2019, 40, 1; 115-126
1231-0956
2083-6023
Pojawia się w:: Archives of Thermodynamics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Solution of a functional equation on compact groups using Fourier analysis
Autorzy:: Chahbi, Abdellatif
Fadli, Brahim
Kabbaj, Samir
Powiązania:: https://bibliotekanauki.pl/articles/747133.pdf
Data publikacji:: 2015
Wydawca:: Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:: Functional equation
non-abelian Fourier transform
representation of a compact group.
Opis:: Let \(G\) be a compact group, let \(n \in N\setminus \{0,1\}\) be a fixed element and let \(\sigma\) be a continuous automorphism on \(G\) such that \(\sigma^n=I\). Using the non-abelian Fourier transform, we determine the non-zero continuous solutions \(f:G \to C\) of the functional equation \[ f(xy)+\sum_{k=1}^{n-1}f(\sigma^k(y)x)=nf(x)f(y),\ x,y \in G,\] in terms of unitary characters of \(G\).
Źródło:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2015, 69, 2
0365-1029
2083-7402
Pojawia się w:: Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

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