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The homogeneous part is captured by the DGLM elements designed for a homogenous problem.
It is assumed that each of these layers is a homogeneous part of the system, and that each phase occupies a specified number of layers.
Herein, we derive the Rankine–Hugoniot relations and Riemann invariants for the homogeneous part of the proposed model and develop an exact Riemann solver for it.
The homogeneous part of the system is solved with a finite volume method based on a WENO reconstruction, and the temporal ODEs are solved using some analytic results presented here.
In particular, the "homogeneous" part of this energy is related to the "rigid" (i.e., purely translational) part of the displacement of atoms across the slip plane, while the "gradient" part accounts for energy storage in those regions near the slip plane where atomic displacements deviate from being rigid, e.g., in the dislocation core.
A new design of conjugated heat transfer in double-pass parallel-plate laminar countercurrent operations subjected to asymmetric wall heat fluxes has been investigated theoretically, and the analytical results obtained with superposition model which introduces the an eigenfunction expansion in terms of power series for the homogeneous part and an asymptotic solution for the inhomogeneous part.
Similar(29)
Fix some pattern of mixed homogeneity and extract the senior homogeneous parts (relative to the pattern chosen) {σ1,…,σJ} from the initial operators {T1,…,TJ}.
Residents of diverse cities naturally embrace different positions than those in more homogeneous parts of the country.
Heterogeneous and homogeneous parts are developed in examples using four methods.
For a more informative analysis local methods of IR spectroscopy with reference to various homogeneous parts of the vein-like type impact glass are required.
Homogeneous parts of the UHPHT glasses can be used to deepened fundamental investigation of a substance under extreme PT conditions and to technological studies for novel material creations.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com