The quiet-boundary scheme involves dashpots attached independently to the boundary in the normal and shear directions.
The reason are short loops made by trajectories which reflect from the boundary in the normal direction and follow the same path in the opposite direction.
In the dysplastic cortex, MAP2 highlighted the ill-defined boundary between the gray and white matter with prominent, horizontally orientated neurons in the immediate subcortical region (Fig. 2O) in contrast to a sharper gray-white boundary in the adjacent normal cortex (Fig. 2P).
Using published refractive index measurements for human corneal tear film [31], epithelium and stroma [32], the Fresnel reflection at an incidence angle normal to the corneal surface was theoretically calculated for each of the boundaries in a normal healthy cornea and a RHCIII-MPC hydrogel implanted cornea (following epithelial regrowth) (Table 1).
If one adds outflow boundary conditions of linearity in the normal direction on the top and right boundary segments, the numerical system becomes overdetermined.
Based on the literature, it is difficult to establish a clear boundary for the normal value in the VISA-P score and it is also very difficult to establish the score that a subject must have to consider them completely asymptomatic (Visnes and Bahr, 2007; Jonsson and Alfredson, 2005).
Furthermore, (4.14) holds at ( x ∗, y ∗, z ∗ ) for the locally Lipschitzian function φ if we pass to the boundary of the normal cone in (4.13), that is, if the following qualification condition holds: ∂ ( f − g ) ( x ∗, y ∗, z ∗ ) ∩ ( − bd N K ( x ∗, y ∗, z ∗ ) ) = ∅, (4.15).
Set τ ( x ) : = τ ( x, y 0 ), where τ is the smooth travel time function localized near x = x 0 such that τ ( x 0, y 0 ) = l 0. Then τ is well defined in a small neighborhood of x 0 by the implicit function theorem and the assumption that x 0 and y 0 are not conjugate on γ 0. In the normal boundary coordinates x = ( x ′, x n ) near x 0, g i n = δ i n, ∀ i.
