- Tytuł:
- G-closures of material sets in space-time and perspectives of dynamic control in the coefficients of linear hyperbolic equations
- Autorzy:
- Lurie, K.
- Powiązania:
- https://bibliotekanauki.pl/articles/205887.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
równanie liniowe hiperboliczne
hyperbolic G-closure
mixing in space-time
screening effect
spatio-temporal composites - Opis:
- The paper is focused on the conept of material mixing in dynamics. This concept introduces the spatio-temporal composites, i.e. material microstructures assembled and maintained in space-time. The knowledge of the relevant sets of effective material parameters (G-closures) is crucial for the purpose of material optimization arising in dynamics of moving media, particularly acoustics and hydroacoustics, as well as in the high-frequency electronic engineering. The analysis is based on covariant description of the mixing problem in terms of relativistic equations acting in Minkowski space. The specific charakterization of G-closure is given for a special case of a dielectric composite in one-dimensional electromagnetic wave propagation. If such composite is assembled in space-time from two dielectrics with the same ratio epsilon / mi of permittivity epsilon to permeability mi and different otherwise then the ratio epsilon[sub omikron] / mi[sub omikron] of the relevant effective parameters will preserve the same value. This is a conservation law for the wave impedance of the medium with respect to one-dimensional wave propagation.
- Źródło:
-
Control and Cybernetics; 1998, 27, 2; 283-294
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł