Only a few experimental data are available in the literature for grain boundary expansion, primarily for isolated grain boundaries with a distinct orientation relation.
The results obtained are in good agreement with both Mullins analytical "small-slope" solution of the linearized problem (W. W. Mullins, 1957, j. Appl. Phys. 28, 333) (for the case of an isolated grain boundary) and with the solution for a periodic array of grain boundaries (S. A. Hackney, 1988, Scripta Metall. 22, 1731).
Once the cluster was isolated, a boundary of cluster was automatically generated by Tint software (Axona, UK).
In this paper, a domain isolation approximation of radiative heat transfer is present, in which the local domain is enlarged by an isolation optical thickness and isolated by blackbody boundaries with local temperature, and the radiative transfer equation only needs to be solved in the isolated domains.
SGCs form an encapsulation of each of the neurons and this isolating boundary has been hypothesized to regulate signalling to and from neurons in the TG [16].
In final-stage sintering, the pores become isolated while grain boundaries are linked each other and grains grow rapidly, so that the densification rate decreases evidently".
This study aims at one key question: do bacteria exist as discrete clusters or do they spread all over continuously to span the whole phylogenetic spectrum or, asked in another way, do bacteria exist as natural species that are isolated by genetic boundaries into discrete phylogenetic clusters?
When g(r)="rq with 1<q<qc="N+1N we prove the existence of a positive solution with a general outer regular Borel measure ν≢∞ as boundary trace and characterize the boundary isolated singularities of positive solutions.
It is believed that such a rescaling isolates the boundary-layer effect so that the experimental and theoretical distributions are comparable.
Wide receiver Mike Wallace, held to two receptions for 15 yards to that point, was isolated to the boundary against Giants cornerback Corey Webster.
