Sentence examples for nonlinear potential from inspiring English sources

Quantitatively, we determine the distance between the two GSs using the Bures measure: Given a perturbing nonlinear potential (hat{V}(hat{x})), we define the nonlinearity measure (eta_{mathrm{B}} [V ]) as the suitably normalized Bures distance (D_{{ mathrm{B}} }) between the GS of the oscillator under consideration and that of the corresponding harmonic one.

Here they are replaced by nonlinear potential estimates.

The flexible-order, finite difference based fully nonlinear potential flow model described in [H.B.

The linear and nonlinear irregular wave realizations are calculated using the fully nonlinear potential flow wave model OceanWave3D [1].

The Klein Gordon equation with nonlinear potential occurs in a wide range of application areas in science and engineering.

A wind waves energy transfer model is here implemented in a fully nonlinear potential flow model for wave-propagation.

We have seen that linear and nonlinear potentials locally control the behaviour of solutions.

In the case p>2 we prove a new gradient estimate employing nonlinear potentials of Wolff type.

On the other hand, they show that those in (20), (23) and (24) are actually special cases of a more general class of nonlinear potentials estimates.

14.4 below, where we in particular discuss the possibility of characterizing the Lebesgue points of SOLA via linear and nonlinear potentials.

Moreover, estimates for fractional derivatives of solutions by mean of suitable linear and nonlinear potentials are also implied.