Sentence examples for weak diffusion from inspiring English sources

Keeping this in mind, we performed simulations of the system, incorporating a weak diffusion of the element Y (similar results are obtained if X is weakly diffusing as well).

However in the case of quite weak diffusion, the coupling due to diffusion leads to a regular spatiotemporal oscillatory behaviour in appropriate regions.

We have chosen the reaction parameters as β = 4.4, γ = 3.4, δ = 1, and employ a relatively weak diffusion with α = 1 0 − 2. The equations above have to be supplemented by suitable initial conditions.

This result is intuitively explained by the authors as follows: Too strong diffusion diminishes the stochasticity of dynamics and so impedes the transition, whereas too weak diffusion prevents replicators from encountering each other and, thus, from catalyzing each other's replication.

For the case of multiple scattering, light diffusion takes place 107 when the scattering strength is weak.

In anisotropic diffusion scheme the rate of diffusion at each pixel is determined by diffusion coefficients that are monotonically decreasing functions of the gradient, thereby mainly ensuring strong smoothing in flat areas and weak diffusing near edge features.

With this outlook in mind, this paper presents a hybrid Godunov method for one-dimensional radiation hydrodynamics that is uniformly well behaved from the photon free streaming (hyperbolic) limit through the weak equilibrium diffusion (parabolic) limit and to the strong equilibrium diffusion (hyperbolic) limit.

As they have only a weak influence, diffusion anisotropy can be neglected.

We assume that WUS protein is not mobile and therefore remains mostly in the cells where the WUS gene is expressed [11], except for weak leakage diffusion.

This could create a problem for treatment with certain antibiotics with relatively weak meningeal diffusion in cases of PRP infection.

The reference treatment for L. monocytogenes is amoxicillin (200 mg/kg per day) plus gentamicin (6 mg/kg per day), which, despite the weak meningeal diffusion of these compounds, is justified because of their in-vitro synergistic effect and the frequency of initial bacteraemic forms.