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Showing 1 to 20 of 49 for “"asymptotic expansions"”.
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Path integrals on manifolds with boundary and their asymptotic expansions
… like to do with path integrals is taking their asymptotic expansions; in the case of the heat kernel, this is the short time asymptotic expansion. In order to use time-slicing approximation here, one needs the approximation to be uniform in the time parameter. We show that this is possible by …
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Gravity Waves in a Viscous Atmosphere and Multiple Asymptotic Expansions
Made available in DSpace on 2014-12-09T22:17:51Z (GMT). No. of bitstreams: 1 6915387.pdf: 4607385 bytes, checksum: b6009167b61ff65d908d7b210d9d3552 (MD5) Previous issue date: 1969
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Asymptotic expansions and stability of hybrid systems with two-time scales
… formulation. Under broad conditions, asymptotic expansions are developed for the solutions of the systems of backward equations for switching diffusion in two classes of models, namely, fast switching systems and fast diffusion systems. To prove the validity of the asymptotic …
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Asymptotic Expansions for Studentized M-Estimators With Applications to Multiple Comparisons
Consider the one-way layout with Y(,ij) being the i-th observation from group j, j = 1(1)p, i = 1(1)n(,j). Let N denote the total number of observations. Assume Y(,ij) = (theta)(,j) + e(,ij), where the e's are independent random disturbances with a common symmetric, but not necessarily normal,(, ) …
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Steady-State Poisson-Nernst-Planck Systems: Asymptotic expansions and applications to ion channels
… In this thesis, we will discuss the matched asymptotic expansions method of solving a singularly perturbed system and apply this method to find an approximate solution to the steady-state Poisson-Nernst-Planck system. In general, for nonlinear systems, it is impossible to obtain any …
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Random walks conditioned to stay positive
… the first passage times. For x ≥ 0 we study the asymptotic expansion for the tail distribution P(t<sub>x</sub> > n) under the condition that one-step distribution has finite high moments. We also derive asymptotic expansion for local probabilities P(S<sub>n</sub> = x, t<sub>0</sub> > n). The …
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Asymptotic Expansion for the Time Evolution of the Probability Distribution Given by the Brownian Motion on Semialgebraic Sets
… in an o-minimal structure and we establish asymptotic expansions for the time evolution. We study the probability distribution as an example for the occurrence of special parameterized integrals of a globally subanalytic function and the exponential function of a globally subanalytic …
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Homogenization of a Cracked Poroelastic Medium - Numerical calculation of the coefficients and damage
This work is devoted to the use of double scale asymptotic expansions and the posterior use of numerical tools in order to get the coe cients for an homogeneous macroscopic model starting from heterogeneous microscopic description. The particular problem of this project is a cracked poroelastic …
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Exact Solutions for Orthogonal and Non-Orthogonal Magnetohydrodynamic Stagnation-Point Flow
… perturbation techniques are used to derive asymptotic expansions for the physically relevant quantities in the flow--the skin friction at the wall and the tangential component of magnetic intensity at the wall. Extensive comparisons are made between the asymptotic predictions and the …
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Unraveling rugae in compressed fiber-reinforced bilayers - New scaling laws for wrinkling, symmetry breaking, and beyond
… analytical framework is developed, yielding asymptotic expansions for the onset of wrinkling, applicable across the full range of elastic mismatches. Here, we model the film as an elastic extensible plate with bending rigidity, and we account for the presence of two families of fibers in the …
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Orthogonal Polynomials On An Arc Of The Unit Circle With Respect To A Generalized Jacobi Weight: A Riemann-Hilbert Method Approach
We investigate the asymptotic behavior of polynomials orthogonal over a symmetric arc of the unit circle with respect to a generalized Jacobi-type weight. Full asymptotic expansions for the orthogonal polynomials are obtained at every point of the complex plane. Our method of proof is based on a …
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Properties of expanding universes
… an expanding universe is examined by a method of asymptotic expansions. The 'peeling off' behaviour and the asymptotic group are derived. Chapter 4 deals with the occurrence of singularities in cosmological models. It is shown that a singularity is inevitable provided that certain very general …
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The narrow escape problem : a matched asymptotic expansion approach
… can escape. We use the method of matched asymptotic expansions to calculate the mean first passage time, defined as the time taken for the Brownian particle to escape from the domain through the absorbing window. This is known as the narrow escape problem. Since the mean escape time …
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Magnetic Damping of Thermocapillary Convection in the Floating-Zone Growth of Semiconductor Crystals
… these difficulties, we have used matched asymptotic expansions, linear stability theory and numerics to characterize these flows. Some fundamental aspects of the heat transfer and fluid mechanics in these magnetohydrodynamic flows are elucidated in addition to the calculation of the …
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Inherent Instabilities and Discontinuities: The Kuramoto-Sivashinsky Equation and a Suspension Flow as Exemplars
… two problems with significant small-time asymptotic structures with inherent instabilities and discontinuities. First, we consider the concentration of particles in suspension in a shear flow near a plane-wall, in which an inherent particle-free layer close to the wall forms spontaneously …
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MOVING WALL JET FLOW NEAR CHANNEL EXIT AT MODERATE REYNOLDS NUMBER
… Inertia is assumed to be large enough, allowing asymptotic development in terms of the inverse Reynolds number. A boundary layer forms adjacent to the free surface, and a classical boundary- layer analysis is applied to find the flow at the free surface and elsewhere. The influence of this …
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Inertial Effects on Particle Interactions in Viscous Flows (fluid-Solid, Low Reynolds Number)
… uniform flow are investigated. Using matched asymptotic expansions, assuming that both particles are within each other's inner domain and applying Stokes flow techniques the first inertial correction to the Stokes velocity and pressure fields and the corresponding force for each particle are …
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Panel data models with nonadditive unobserved heterogeneity : estimation and inference
… These corrections are based on higher-order asymptotic expansions of the GMM estimators and produce improved point and interval estimates in moderately long panels. Under asymptotic sequences where the cross sectional and time series dimensions of the panel pass to infinity at the same rate, …
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Born-Oppenheimer Corrections Near a Renner-Teller Crossing
… that the wave functions and energy levels have asymptotic expansions in powers of ε, where ε4 is the ratio of an electron mass to the mass of a nucleus. To prove the validity of the expansion, we must prove various properties of the leading order equations and their solutions. The leading …
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Active feedback control of a wake flow via forced oscillations based on a reduced model
… point. We use the domain perturbation method and asymptotic expansions to derive control algorithms analytically. In the first algorithm, we displace the cylinder by a small vertical distance such that the lift remains zero at all times. We also show by direct numerical simulation of the flow …
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