The energy flow equation
β Scribed by R. Vichnevetsky
- Book ID
- 103895681
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 832 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0378-4754
No coin nor oath required. For personal study only.
β¦ Synopsis
An equation which describes the flow of energy in energy conservative semi-and full discretizations of hyperbolic equation4 is derived. While Ihe form of this equation for semi-discretizations verfies known principles of group velocity and wave propagarion in periodic struclures. its form and strict applicability to discrete-space-discrete-time systems such as those resulring from Ihe full discretizakn of hyperbolic equations are new results.
π SIMILAR VOLUMES
We prove the following results: 1. A unique smooth solution exists for a short time for the heat equation associated with the MΓΆbius energy of loops in a euclidean space, starting with any simple smooth loop. 2. A critical loop of the energy is smooth if it has cube-integrable curvature. Combining
Exact macroscopic equations are derived for the conservation of mass, mass of constituent, momentum and energy in heterogeneous systems. By the use of integral transformation theorems generalized for such systems, these equations are transformed to the corresponding local forms of differential equat
A potential alternative to Statistical Energy Analysis that is gaining increasing interest in recent years is the ''thermal'' energy flow approach. Its advantage is represented by the possibility of modeling the spatial distribution of energy density at high frequencies, thus yielding a more effecti