Sentence examples for long time limit from inspiring English sources
The analysis is limited to two dimensions and assumes quasi-stationary distributions in the long time limit.
The response dynamics of the model have been investigated to identify the possible parameter estimation strategies and in order to predict the long time limit behaviour.
The self-similar solutions of the Fokker Planck equation presented here are based on the assumption of quasi-stationary distributions reached in the long time limit.
In addition, steady-state Laplace PDEs can be formulated to produce the homogenized diffusion tensor that describes the diffusion characteristics of the medium in the long time limit.
The approximate solution of the Fokker Planck equation presented here is limited to two dimensions and is based on the assumption of quasi-stationary distributions reached in the long time limit.
In a recent publication an analytical solution of the Fokker Planck continuity equation for the grain size distribution for two-dimensional grain growth in the long time limit (self-similar state) was provided.
Physically important one include long time limits as well as semiclassical (large frequency or small Planck constant) limits.
Through a procedure introduced by Deift and Zhou in the case of long time limits, factorization of the jump matrix coupled with contour deformations allows the localization of the contour, the simplification of the jump matrix and the rigorous asymptotic reduction to a solvable RHP.
This can be done by establishing a month-long time limit for approvals, and providing research assistance to Japanese companies.
In the long-time limit all systems obey xf∼t 0.49±0.02) and differ only in the timespan needed to enter this diffusion-controlled state.
We exhibit numerical solutions for many different parameters, and also discuss analytical techniques that allow approximate solutions for several conditions: the high-concentration limit; the long-time limit; and the long-seed-length, lows concentration limit.
