Sentence examples for limiting profile from inspiring English sources

This is quite contrasted with the case of Dirichlet problems, where there is only one type of limiting profile for any p∈(1,2⁎−1) and a smooth domain Ω.

(1.4) Then, for overcoming the difficulty of the loss of scale invariance, we apply the ground state solution u of (1.4) to describe the dynamical properties of blow-up solutions to (1.1), including (L^{2} -concentration, L^{2} -concentration blimitingates.

For (1.1), we find that the ground state solution u to (1.4) exactly describes the sharp threshold mass of global existence and blow-up, the dynamical properties of blow-up solutions, including (L^{2} -concentration, L^{2} -concentration blimitingates.

The original method uses limiting profiles.

This leads us to propose a variant of ELECTRE TRI that uses limiting profiles.

However, none of them proposes a characterization of the categories through a set of limiting profiles.

We also investigate a number of situations in which the original method using limiting profiles gives results that do not fit well our intuition.

Depending subtly on the (N−1)−dimensional measure |∂Ω∩∂B 0,1)|N−1 and the nonlinear growth rate p, there are many different types of limiting profiles.

Our main results in Theorem 1.1 establish the existence of nonconstant solutions to (1.1) for any small ϵ, and it is out of the scope of this paper to analyze their limiting profiles.

By considering exact near-surface limiting profiles of turbulence quantities such as the eddy viscosity and the turbulent scalar flux, the prescribed turbulent diffusivity profile, which is a core assumption of the AWF, is modelled to have the correct limiting behaviour.

Cook says he wants to keep evolving the app through user feedback, and is considering including limited profile option along with the "Verified" logo.