Sentence examples for by a linear stability from inspiring English sources

By a linear stability analysis, we have the following results.

By a linear stability analysis, we establish some stability conditions of constant positive equilibrium for the ODE and PDE systems.

A good agreement is found between the unsteady flow results and those obtained by a Linear Stability Theory (LST).

Waves on the lithium flow surface is similar to that on water, and can be predicted by a linear stability theory.

The stability of axisymmetric flow in thermocapillary liquid bridges is investigated by a linear stability analysis using a finite-difference method.

Once the stationary solutions (( textbf{u}^{b}, theta^{b}, P^{b} )) ((x, z)) are obtained, the stability of these solutions is determined by a linear stability analysis as in [8].

The critical value is found by performing a linear stability analysis of the basic reaction regime.

The instability mechanism that produces sound sources, or unsteady vortical motions, is quantitatively examined, also by using a linear stability theory.

By applying a linear stability analysis to these equations, regions are identified, for which the combustion mode becomes unstable, e.g. for which the hot solution changes rapidly to the cold solution and, thus leads to the extinction of the particle.

For the particular case of two prey (e.g., engineered and native, respectively) and one common predator species, by performing a linear stability analysis about the initial native-dominant steady state, we determine under which conditions the engineered species invasion succeeds.

The effects of domain shapes on the critical Rayleigh number and convection pattern are investigated by means of a linear stability analysis employing a Chebyshev pseudospectral method.