نتایج جستجو برای: two time scale perturbation
تعداد نتایج: 4254396 فیلتر نتایج به سال:
The averaging method for time-dependent quantum systems is used to construct quantum mechanical analogues of the perturbation expansions by Poincar e and by Kolmogorov for time-dependent operators. The resulting two perturbation algorithms are diierent from the usual time-dependent perturbation theory for quantum systems.
We prove the existence and uniqueness of solutions of weakly non-linear wave equations in the region x > 0; t > 0 under arbitrary initial and boundary conditions. We also establish the asymptotic validity of formal perturbation approximations to the solutions. The asymptotics of these equations require two slow scales, one spatial, one temporal. We formulate a multiple-scale perturbation proced...
In this paper, we consider the inhomogeneous time-fractional nonlinear Fisher equation with three known boundary conditions. We first apply a modified Homotopy perturbation method for translating the proposed problem to a set of linear problems. Then we use the separation variables method to solve obtained problems. In examples, we illustrate that by right choice of source term in the modified...
The renormalization group (RG) method is one of the singular perturbation methods which is used in search for asymptotic behavior of solutions of differential equations. In this article, time-independent vector fields and time (almost) periodic vector fields are considered. Theorems on error estimates for approximate solutions, existence of approximate invariant manifolds and their stability, i...
data envelopment analysis (dea) is a non-parametric approach for performance analysis of decision making units (dmus) which uses a set of inputs to produce a set of outputs without the need to consider internal operations of each unit. in recent years, there have been various studies dealt with two-stage production systems, i.e. systems which consume some inputs in their first stage to produce ...
We construct an inflationary model that is consistent with both large nonGaussianity and a running spectral index. The scenario of modulated inflation suggests that modulated perturbation can induce the curvature perturbation with a large non-Gaussianity, even if the inflaton perturbation is negligible. Using this idea, we consider a multi-field extension of the modulated inflation scenario and...
S U M M A R Y This paper investigates the development of anisotropic frictional resistance and mobility as a function of an applied stress in a partially molten aggregate. Shapes of initially spherical melt pockets and cylindrical melt tubules are calculated as a function of the applied stress using a perturbation analysis. The applied stress excites a local flow within the melt units (tubules ...
Online calibration is desired in antenna arrays of ultrawide bandwidth. This study proposes a time domain method based on the simultaneous perturbation algorithm. Two objective functions were established: power received signal at array output; or combination and correlation coefficient between output target signal. For both criteria, convergence settings require only two measurements each itera...
The time-evolution equation of an open quantum system has long been known to come in two equivalent, yet fundamentally different flavors: a time-nonlocal one with memory kernel and time-local generator, whose connection discovered only recently [phys_rev_x_11_021041_2021]. Here, the authors show that this implies recursive relation between their perturbative series: complicated series can be co...
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