Sentence examples for memory term in from inspiring English sources

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.

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.

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)).

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.

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.

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]).

There exists a large body of literature regarding viscoelastic problems with the memory term acting in the domain or at the boundary (see [7 12]).