Sentence examples for systems of evolution from inspiring English sources

Recently, Lasry and Lions introduced mean-field approaches for high-dimensional systems of evolution equations corresponding to a large number of 'agents' or 'particles'particles

The systems of evolution equations are solved in a staggered manner, where a newly proposed, physically motivated plasticity inheritance law accounts for the inheritance of plastic deformations due to evolving phases.

It is shown in this paper that Schrodinger, parabolic and hyperbolic equations containing the operator Ĥ can be approximated by explicitly defined systems of evolution equations of a larger order.

If scientifically minded theologians want to apply that inspection to the entire system of evolution, they're free to do so.

Note that the system of evolution nonlinear equations obtained in [13] has sense only on the regular-discrete space scales.

We reformulate (35 - 37 35 - 37er to sinplify and in particular torderain a systom of evolution equationsimplify

A system of evolution equations for the film thickness and volumetric flow rate, that was first derived by Trifonov [1992.

We initiate the investigation of a stochastic system of evolution partial differential equations modelling the turbulent flows of a second grade fluid filling a bounded domain of.

This paper investigates the blow-up properties of positive solutions to the following system of evolution p-Laplace equations with nonlocal sources and inner absorptions.

Dr. Krause's brief essay is entirely concerned with the analysis of the elder Darwin's works "and the vindication of his claim to be the true founder, in great part, at least, of the system of evolution through natural selection of which his grandson is the exponent in our day".

Therefore, substituting Equation 4 into 3 and differentiating one more time, after applying the Weisskopf-Wigner approximation (details in [11]), we can derive the following system of evolution equations: d 2 d t 2 β α ( t ) = - ∑ δ = 1 N β δ ( t ) Φ α δ - 2 D α d dt β α ( t ), (7).