Sentence examples for memory terms in from inspiring English sources
The memory terms in FFOCLM compensate the time-delay in control input.
Models involving memory terms in reaction have arisen in studies of nuclear reactor dynamics [1, 2] and population dynamics [3], specifically in the case of logistic growth models involving both nondelayed and hereditary effects [4, 5].
Memory terms in diffusion have been studied as well, arising in models of viscoelastic forces in non-Newtonian fluids [16, 17] and resulting from a modified Fourier law applied to anisotropic, nonhomogeneous media [18].
Particularly, the blow-up properties of semilinear parabolic equation involving memory terms in a reaction, u t = Δ u + u q ∫ 0 t u p ( x, s ) d s, (1.2). coupled with a zero Dirichlet boundary condition has been completely studied (see [7 10]).
Choice of different parameters, including the use of the end-to-end distance of RNA as a memory term, in the simulations to accelerate sampling is discussed.
Next we establish the history setting of the problem (1.1 - 1.3 1.1 - 1.3 to deal winh the nordertonomous character of the memory term in (1.1).
As the case (0leqiota<1), the memory term in Eq. (2) indicates the heat flux depending on the temperature gradient and its past history.
For the well-posedness of weak solutions of Eq. (1.1), we can refer to [3, 4] (without memory term in Eq. (1.1)) and [2] (with memory term but without viscosity damping term (- Delta y_{tt}) in Eq. (1.1)).
Furthermore, fractional derivatives provide an excellent instrument for the description of memory and hereditary properties of various materials and processes due to the existence of a "memory" term in a model.
This idea has been recently revisited in a different form in [14], by introducing a memory term in the widely used Spectral Distortion measure that is used to control the LSF quantization.
Observed characteristics of velocity distribution and autocorrelation were reproducible by a state-dependent, additive noise and a memory term in the velocity function.
