Sentence examples for multiple scale expansion from inspiring English sources

Starting from this formulation, a homogenisation technique, based on the multiple scale expansion theory, is developed in order to replace the heterogeneous structure with an equivalent homogenous one.

This paper illustrates the application of the multiple scale expansion theory to the analysis of heterogeneous thin structures employed for the magnetic field shielding and, in particular, the attention is focused on grid shields.

The flow of power-law fluids through fibrous media at low-pore Reynolds number is investigated using the homogenization method for periodic structures with multiple scale expansions.

We introduce the multiple scale expansions with drift for the problem and use this technique to upscale the reactive flow equations.

The separation of scales enables the use of the method of multiple scale expansions for periodic structures, a powerful upscaling technique from the heterogeneity scale to the wavelength scale.

We describe two "hyperasymptotic" approximations which add a second, different asymptotic series to the multiple scales expansion so as to compute α itself.

This study is mainly analytical and use complexification methods, multiple scales expansions and exploits also the concept of limiting phase trajectories (LPTs).

The first technique is based on a two-variable multiple-scale expansion that takes into account the thin boundary layer near the wall.

Multiple-scale expansion reduces the problem in the first approximation to low-dimensional vibro-impact system with forcing and damping; the latter problem yields to direct analytic approach.

By employing the method of multiple-scale expansions we derive a system of nonlinear ordinary differential equations to describe the dynamics of lamellar eutectic crystals in directional solidification.

We use multiple-scale expansions to upscale a pore-scale advection diffusion equation with reactions entering through a boundary condition on the fluid solid interface, and to establish sufficient conditions under which macroscopic advection dispersion-reaction equadvection dispersion-reactionscription of thequationsale providees.