Sentence examples for point of boundary from inspiring English sources

We conclude that the least energy solutions of the system concentrate at the point of boundary, which maximizes the mean curvature of ∂ Ω.

The observation of a boundary layer separation in the present work suggests that the model for convective diffusion impedance for this system must account for both the circulation region which follows the point of boundary layer separation and the boundary layer region itself.

This estimation is an important step in the proof of H ( P 0 ) = max P ∈ ∂ Ω H ( P ), where H ( P ) denotes the mean curvature of ∂ Ω at the boundary point P. We conclude the least energy solutions of system (1.1), concentrated at the point of boundary, which maximizes the mean curvature of the boundary of Ω.

So we can conclude the least energy solutions of system (1.1) concentrate at a point of the boundary, which maximizes the mean curvature of the boundary of Ω.

But the notion of boundaries, the notion of emotional and social tension at the point of the boundary, is not going to change either".

Thereby, the continuity of in every dense point of the boundary of and the arbitrariness of guarantee that.

Fig. 3 The "composite distance" to a point of the boundary.

We will show that ; we only have to prove that is continuous in every dense point of the boundary of.

The results were examined in order to determine the influence of the pattern type upon the location of the detachment / separation point of the boundary layer of the vortex ring.

That there are barriers at each point of the boundary of a simply connected bounded open set in (mathbb {C}) does hold.

Let (x in widetilde{U} {setminus} widetilde{D}_{mathrm {Sp}}) be a point of the boundary of (widetilde{mathrm {H}}(W^s)).