Sentence examples for equations for the evolution from inspiring English sources
Equations for the evolution of the gradient values are solved.
Equation (6) may also be used to obtain the governing equations for the evolution of the slow plasma electron velocities.
We next demonstrate how fast-slow analysis can beused to derive reduced equations for the evolution of solutions during both the silentand active phases.
Based on these observations, equations for the evolution of mobile and forest dislocation densities are posed, depicting boundary sources and dislocation dislocation interactions, respectively.
The method of multiple scales is used to derive two first-order ordinary-differential equations for the evolution of the amplitude and phase of the response.
These quantities can be applied by means of the thermodynamic extremal principle to obtain models and consequently constitutive equations for the evolution of the thermodynamic systems.
Kinetic equations for the evolutions of the local order parameters and the local composition with time are derived from the Ginzburg Landau-type potential.
Boltzmann provided an equation for the evolution of the distribution of the velocities of particles from a non-equilibrium initial state for dilute gases, the Boltzmann equation.
The model consists of a modified form of the Landau-Lifshitz-Gilbert equation for the evolution of the magnetization vector in a rigid ferromagnet.
