نتایج جستجو برای: perturbation solution

تعداد نتایج: 519424  

1997
Andrei V. Frolov

This paper studies the perturbations of the continuously self-similar critical solution of the gravitational collapse of a massless scalar field (Roberts solution). The perturbation equations are derived and solved exactly. The perturbation spectrum is found to be not discrete, but occupying continuous region of the complex plane. The renormalization group calculation gives the value of the mas...

2005
RUSSEL E. CAFLISCH MICHAEL SIEGEL Lars Onsager

This paper reviews the efforts to construct (or prove the impossibility of) singular solutions of the Euler equations for three dimensional incompressible flow. A semi-analytic approach to this problem is formulated based on numerical computation of complex traveling wave solutions, followed by perturbation construction of a real solution, for axisymmetric flow with swirl. The perturbation anal...

Journal: :Proceedings of the National Academy of Sciences of the United States of America 1978
J C Owicki M W Springgate H M McConnell

An analysis is given for the perturbation of the order and composition of lipid bilayers near an intrinsic membrane protein. Two cases are examined: the protein influences the lipid order (i.e., "fluidity"), and the protein associates with one component of a lipid mixture preferentially. The order perturbation is studied as a function of temperature and lateral pressure by using Landau--de Genn...

1997
R. K. Snieder

In this paper the stability of the Korteweg-de Vries (KdV) equation is investigated. It is shown analytically and numerically that small perturbations of solutions of the KdV-equation introduce effects of dispersion, hence the perturbation propagates with a different velocity then the unperturbed solution. This effect is investigated analytically by formulating a differential equation for pertu...

2008
Xiuying Li

This paper investigates an initial-boundary value problem with nonlocal condition for the wave equation. The numerical solution is developed by using Homotopy perturbation method. This method is based on the use of traditional perturbation method and homotopy technique. Using this method, a rapid convergent series solution can be obtained in most cases. Furthermore, this method does not require...

1998
B. M. Brown M. S. P. Eastham

on an interval [X,∞). Here Z is an n-component vector, ρ is a scalar factor, D is a constant diagonal matrix and R is a perturbation matrix such that R(x) = O(x) as x → ∞, for some δ > 0. The algorithm implements a repeated transformation process by means of which ( 1. 1) is transformed into other systems whose perturbation matrices are of successively smaller orders of magnitude as x → ∞. When...

2010
R. MIKULEVICIUS B. L. ROZOVSKII

A random perturbation of a deterministic Navier-Stokes equation is considered in the form of an SPDE with Wick type nonlinearity. The nonlinear term of the perturbation can be characterized as the highest stochastic order approximation of the original nonlinear term u∇u. This perturbation is unbiased in that the expectation of a solution of the perturbed/quantized equation solves the determinis...

2002
Apostolos Dimitriadis Simon F. Ross

We consider the stability of the two branches of non-extremal enhançon solutions. We argue that one would expect a transition between the two branches at some value of the non-extremality, which should manifest itself in some instability. We study small perturbations of these solutions, constructing a sufficiently general ansatz for linearised perturbations of the non-extremal solutions, and sh...

2004
Durgesh S. Vaidya

Electrophoresis of a solute through a column in which its transport is governed by the convection diffusion equation is described. Approximate solutions to the convection difision equation in the limit of small diffusion are developed using perturbation methods. The difision coeficient and velocity are assumed to be functions of space and time such that both undergo a sudden change from one con...

Journal: :Applied Mathematics and Computation 2007
M. Rafei D. D. Ganji Hamid Reza Mohammadi Daniali

In this article the problem of the spread of a non-fatal disease in a population which is assumed to have constant size over the period of the epidemic is considered. He’s homotopy perturbation method is employed to compute an approximation to the solution of the system of nonlinear ordinary differential equations governing on the problem. The results are compared with the results obtained by A...

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